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Paper Citation Record · LEDGER

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions

As of 18 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 4 inbound Pith citation observations for arXiv:2505.07009.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.07009 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:37:57.823487Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:37:31.407954Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-03T23:19:03.634204Z

Reference resolution

53 of 53 outbound references displayed

  • verified exact1
  • verified fuzzy40
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3fb73af7-6e61-46bc-b93e-805cb7162cfe · outbound

This paper cites Agmon,Spectral properties of Schr¨ odinger operators and scattering theory, Ann.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Agmon,Spectral properties of Schr¨ odinger operators and scattering theory, Ann

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.679611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.575998Z digest=sha256:9f4f2e6a06eea9c2d06a8b7891b2486339fe3bea52b34910e8f373810ca1c5c8

Observation 46f0404b-65bc-42c4-97ef-d54c371fa0c0 · outbound

This paper cites Beceanu,Structure of wave operators for a scaling-critiacal class of potentials, Amer.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Beceanu,Structure of wave operators for a scaling-critiacal class of potentials, Amer

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.667660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.580609Z digest=sha256:42eb2549cc668a90b16fda097b8aa90aee6b4c3222582f5afaf00a401a65bf76

Observation fae9881b-916b-459a-842f-f2b5aff39146 · outbound

This paper cites Pointwise estimates for the fundamental solutions of higher order Schr\"{o}dinger equations in low odd dimensions.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Pointwise estimates for the fundamental solutions of higher order Schr\"{o}dinger equations in low odd dimensions

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T22:37:57.584835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:37:57.584835Z digest=sha256:e699b04678ac9c16f60d3033a366d2126500944faf7d310362999544ddf00f8d

Observation 1ae89b87-882c-47c7-acc8-c532de3a1c19 · outbound

This paper cites D’Ancona and L.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions D’Ancona and L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.654313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.589501Z digest=sha256:99a5b5b1bd1a5629125b7ed2db25875c0b82c6df2467c2e546b734cccb2a685e

Observation b124fa39-83df-4cf7-bf8e-ad5b3326c73b · outbound

This paper cites Erdo˘ gan, M.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Erdo˘ gan, M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.641392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.593916Z digest=sha256:6fdcf696a893b4f7eba6496f312c8fe5b8f01edccae6ff70660dacffb7188943

Observation 2530cfc4-9852-44da-844b-0638604b97a1 · outbound

This paper cites Erdo˘ gan, M.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Erdo˘ gan, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.629850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.597942Z digest=sha256:7975b2cbcd4875be3777df70e0d5b9a0ebdfb39e615aeb5b46d36ed876b2e447

Observation f700fc08-a8bf-4409-8309-1d4982ac95e1 · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-15T22:37:57.874054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.602209Z digest=sha256:bbb612a8a90a09f3b845e0b80074a76797f6aee95b5f78374ff4b70b96fc165e

Observation d7d28756-a71e-41f2-a025-0bff3f7404dc · outbound

This paper cites Erdo˘ gan and W.R.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Erdo˘ gan and W.R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.618356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.605985Z digest=sha256:469a584b20b9e6f61caab158712668e16d28489af884368e5d9d0b3842dfd9f8

Observation 8f2828bc-02c4-4c45-87c9-cdaa7953896c · outbound

This paper cites Erdo˘ gan and W.R.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Erdo˘ gan and W.R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.606750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.609719Z digest=sha256:255b39bcf44b1db8cd88a3a8cff174a51b9e240463da65c0daab478103851950

Observation 7dc146b2-df3b-4f62-93ff-0ac83bedb684 · outbound

This paper cites Erdo˘ gan, W.R.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Erdo˘ gan, W.R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.595442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.613577Z digest=sha256:d62387715acdf09c47d564e6db5d3a5380a3f5beafc57857c0d7e57127881176

Observation a196642c-e0b9-4e86-9148-90d1187dfd03 · outbound

This paper cites Erdo˘ gan, W.R.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Erdo˘ gan, W.R

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.583349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.617225Z digest=sha256:38193d62cc141dfa25df76271482ff8231066d8c6e9848f6f99292a9d1ab8980

Observation 3424630e-3a72-4cf1-a381-bb0880404882 · outbound

This paper cites Feng,Dispersive estimates for inhomogeneous fourth-order Schr¨ odinger operator in 3D with zero energy obstructions, Nonlinear Anal.207(2021), Paper No.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Feng,Dispersive estimates for inhomogeneous fourth-order Schr¨ odinger operator in 3D with zero energy obstructions, Nonlinear Anal.207(2021), Paper No

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.570974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.621168Z digest=sha256:c5c469b3022e75642455b7b96aa0788aeabd5500fd4a442b50e431b4788605a6

Observation d1590908-e7fa-4283-a4de-626a7094f202 · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:37:58.557803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.625361Z digest=sha256:7db3b0b9d23a669fe4ba42ebe5b1afce5e9566c55fae5ad42ab07e5a6e7cc79b

Observation bfc1b798-9b1a-4ac7-ba49-af6201ed9d20 · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:37:58.546468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.629422Z digest=sha256:02b9283eee2178f4c66044423aa873b19b14841ab166cb5d21dcd006e929a9d7

Observation 06004c2e-4b2a-4d6f-90a5-8d745beb3ac5 · outbound

This paper cites Finco and K.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Finco and K

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.534101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.632990Z digest=sha256:0ca642660de6b99abb2b497cfac74cea149ecf1cf097bb9136fecc60451a0f39

Observation ae081b3a-0a57-4bc3-84e4-ac2251f38a57 · outbound

This paper cites Galtbayar and K.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Galtbayar and K

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.521225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.636790Z digest=sha256:efe5014d02cfead2279384e60ecf902e19de09871f9d46441fae88cf40d2b4c4

Observation de86c411-180a-460e-a9a5-4f448bc51862 · outbound

This paper cites Galtbayar and K.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Galtbayar and K

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.510047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.641193Z digest=sha256:26588c8b61e6a9913bbae8b1699636d6ddc716969b897fe59b73577ede64614c

Observation 38a09362-a5d6-4905-ba01-fae2c1525a7a · outbound

This paper cites Goldberg and W.R.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Goldberg and W.R

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.498408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.658473Z digest=sha256:d6cee26c3a86842080827e2bafd2907801cc2a54a11135fb96cf126b30a276aa

Observation f8554598-e80e-4563-bad1-89b7555170c7 · outbound

This paper cites Goldberg and W.R.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Goldberg and W.R

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.483736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.663015Z digest=sha256:97fd7abb4863af4bd98f7648fef342f2f5946f358800c7b02b86461fd49cd093

Observation eb4b7d7a-558a-4b04-bca4-10f7e43d9851 · outbound

This paper cites Goldberg and W.R.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Goldberg and W.R

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.471053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.667342Z digest=sha256:0ee6ebc9ef709236194668988f47ed9228ba170ea2719884cc17570857ce3671

Observation 4d191d71-7c0d-4b04-a401-5d7dc8952b36 · outbound

This paper cites Goldberg and W.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Goldberg and W

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.458922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.671977Z digest=sha256:009fededde6b63b04da8b0036b2e90fbf8728a13d168dbc74e98331371b8206f

Observation be84e280-9f18-41d5-824a-6eda20ebfb4a · outbound

This paper cites Goldberg and M.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Goldberg and M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.446415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.676642Z digest=sha256:fcf3a7bd41227a853049ad31e777376a7366a7584baeb6e19f06103b8544c53b

Observation 8c00cd1d-57af-48cb-b7be-81bf8067fcaf · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:37:58.431884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.680438Z digest=sha256:679211e6ca1ebab4ee66414f3e6282a0987eeb2501676b28a1536c168620aa25

Observation 42272d3a-94ff-4069-86ae-d88bbf3aebff · outbound

This paper cites Grafakos, Classical Fourier Analysis.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Grafakos, Classical Fourier Analysis

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.417316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.684480Z digest=sha256:7ecf1353290ad9dddc4faa4b47a0ec8195d531b420cd1b423ee0f470126da5a6

Observation 37d0e9ea-e72c-44e8-92bf-1c7cea875ad9 · outbound

This paper cites Greenand E.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Greenand E

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.403415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.688045Z digest=sha256:a1f8d441e5c87018763eec85714b13d441695088b9507f6f2c32b6658798575b

Observation bfa9fb6e-7328-4a5c-bdf2-faef11f03b7f · outbound

This paper cites Jensen and T.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Jensen and T

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.387798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.692759Z digest=sha256:be0b14234deacfdef1dbe7612b1d9cab6fe2207335d24618c6889c4410d54d14

Observation 5a9cfa04-2fe7-43f5-9906-7b1a5c09fa69 · outbound

This paper cites Jensen,Spectral properties of Schr¨ odinger operators and time-decay of the wave functions results in L2(Rm),m≥5, Duke Math.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Jensen,Spectral properties of Schr¨ odinger operators and time-decay of the wave functions results in L2(Rm),m≥5, Duke Math

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.371835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.696864Z digest=sha256:38a95284b206e72e5ba43147f8effca7377a13590195001b11900a397d97b538

Observation 98ab8943-5dd3-43b0-87fb-922dd06e6eb6 · outbound

This paper cites Jensen and G.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Jensen and G

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.354756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.700714Z digest=sha256:ec961e4045cb10c8364eadf3595daa294eb56dfb73aea97d9d3714f7e2dc1041

Observation 0d42ab61-a42a-4d2e-9e17-bdd1a07765c7 · outbound

This paper cites Jensen and K.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Jensen and K

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.337245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.704978Z digest=sha256:4502e979b8ce785b50c31a18f3dfaffab32a72f1a3349e5a0103042bf6bef11f

Observation ac067ff1-dbe4-4436-81ce-220b75ed2769 · outbound

This paper cites Journ´ e, A.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Journ´ e, A

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.322672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.709520Z digest=sha256:8d7c1cd5a7aebfe7152dc8c489aefb762bef32ec4ec9ddabe1968fa1c364a9bb

Observation 3f52b23b-dc2b-4e5b-885d-409d1749c2f2 · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:37:58.310420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.713345Z digest=sha256:131a26672d86e019c2a57232e2ea01808056997d0251317918bc31e0fb4f9ea1

Observation 2d28e60b-fd19-41de-9630-def423cbd88d · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:37:58.297793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.717961Z digest=sha256:0d5e88731d48c4753f0579e58887d75f2a8e43f2103cbe656ad3dd4a67c4a41f

Observation f517a430-80dc-4a3c-89a6-13cfe2ddbc93 · outbound

This paper cites Mizutani, Z.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Mizutani, Z

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.285331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.721950Z digest=sha256:52f4e80d3acbda606ae32edb1827c9f546ced20b0a83f86acecdb7aadec7295b

Observation 038afa2b-fc76-4e2a-90f4-b09780f8c71c · outbound

This paper cites Mizutani, Z.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Mizutani, Z

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.270856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.725652Z digest=sha256:302e9a90278efbe950769d608a58a191b38b8b4b76687c4131e84224baa13c2b

Observation 936f6117-92d4-4074-935e-10c63fc94bbc · outbound

This paper cites Mizutani, Z.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Mizutani, Z

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.253677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.729371Z digest=sha256:75e7feb43ce00e4912289a6d3f6d02bef9177156a73dd3ab5cee5757ebea6718

Observation d5eec295-53a3-4b36-b87c-8dc3ebf5629c · outbound

This paper cites Reed and B.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Reed and B

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.230687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.733546Z digest=sha256:92ec91d3da278b946a6ae1eebe0a7ac6e8e3e8c6f021eb9d0dc10548ade4cd94

Observation d8bd217b-1927-4ff4-aa68-7c45dcdea294 · outbound

This paper cites Rodnianski and W.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Rodnianski and W

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.214827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.738309Z digest=sha256:985e060460b10a75561266d8d5a3018e52c3b883ffd579e4901df2e597feec32

Observation 658eeb13-ff1c-46e9-9fd5-0610a6302889 · outbound

This paper cites Schlag,Dispersive estimates for Schr¨ odinger operators in dimension two, Comm.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Schlag,Dispersive estimates for Schr¨ odinger operators in dimension two, Comm

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.202141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.742355Z digest=sha256:eda6aafec099a45430c0d24a37876d68977f301d08a54d32e625152d9c7bd38c

Observation 0052fd50-ad95-437e-b35c-576b1475b0e3 · outbound

This paper cites Schlag,Dispersive estimates for Schr¨ odinger operators: a survey, Mathematical aspects of nonlinear dispersive equations, Ann.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Schlag,Dispersive estimates for Schr¨ odinger operators: a survey, Mathematical aspects of nonlinear dispersive equations, Ann

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.187565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.746928Z digest=sha256:fbbfa4345ea6f8d2b7b701714fb70a4dde4e53901f27730efab1ea585d45dfbf

Observation dba24945-c437-4c5f-89ec-112524b344b0 · outbound

This paper cites Soffer, Z.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Soffer, Z

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.170372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.753615Z digest=sha256:6037a51478206e38a66f7e6159ef57a7a7c8e89e50c299853690e72652705f7f

Observation 419e19a1-09fc-48c1-8226-0175f7c0cf70 · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:37:58.155839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.759377Z digest=sha256:8e18226ba03f2ec5b21d76d4ff3bd97054cbf60727dd9b8849260fa787c592ab

Observation b6f462ef-aea9-4485-ac9a-71b06fce2021 · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:37:58.138367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.764515Z digest=sha256:918412f3bab0826db049720aa1d9c0dbb68c2e8268bf902559bfda4a343bec23

Observation 57ef8587-4a30-46d3-98fa-2632de190d47 · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:37:58.125726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.771598Z digest=sha256:4daf7dce6ddb98e810d5fb114ca08c82f8d2932ee3ccbdace63b3d64cdf59728

Observation ce05e2c0-a475-4481-ad8d-ab8b3dbd8c54 · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:37:58.113354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.777193Z digest=sha256:ddaf1e4be0056dc3600810746df8c639fc2d91cad9bc84523d7cf13b5902a776

Observation 2c4617ef-16ab-464a-b58e-94368c126e74 · outbound

This paper cites Yajima,TheW k,p-continuity of wave operators for Schr¨ odinger operators, J.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Yajima,TheW k,p-continuity of wave operators for Schr¨ odinger operators, J

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-15T22:37:57.783140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:37:57.783140Z digest=sha256:081725f43eb08101c8c849b04b8b840be1b7fd9d6f46f5f7f2733c8aa4e7cbff

Observation ca2959ef-2d45-4575-a91b-79afa9e9239e · outbound

This paper cites Yajima,TheW k,p-continuity of wave operators for Schr¨ odinger operators.III.Even-dimensional cases m≥4, J.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Yajima,TheW k,p-continuity of wave operators for Schr¨ odinger operators.III.Even-dimensional cases m≥4, J

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.079958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.789030Z digest=sha256:5608b48230672e889d8d57ff2b50a1173222f821c26fdf456657c4c7431c3fc1

Observation c1a78282-7798-4f29-8bd0-df20e35286d3 · outbound

This paper cites Yajima,L p−boundedness of wave operators for two-dimensional Schr¨ odinger operators, Comm.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Yajima,L p−boundedness of wave operators for two-dimensional Schr¨ odinger operators, Comm

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.055905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.794472Z digest=sha256:272426243fa9052b08bb7da41d4eff775b20a5110ea1ee4877c7b32bedab7fa3

Observation 20181678-93cc-4533-9464-992d7e2d58a1 · outbound

This paper cites Yajima,TheL p boundedness of wave operators for Schr¨ odinger operators with threshold singularities I.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Yajima,TheL p boundedness of wave operators for Schr¨ odinger operators with threshold singularities I

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.027900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.800311Z digest=sha256:f049cd27efd517cb6a2523dd871210b8735050bce626d7250afed1881c3a3a62

Observation 3b2aa963-a901-4c78-a6ae-b8bbb7fab78c · outbound

This paper cites Yajima,Remark on theL p-boundedness of wave operators for Schr¨ odinger operators with threshold singularities, Doc.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Yajima,Remark on theL p-boundedness of wave operators for Schr¨ odinger operators with threshold singularities, Doc

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:58.002795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.805211Z digest=sha256:29bc2dec88026e0c84158f7eaa7fe770a30d446c371461f137940bd8fcb329b0

Observation 093b1c21-7c3a-4ebc-ac04-3793f495bede · outbound

This paper cites Yajima,L 1 andL ∞-boundedness of wave operators for three dimensional Schr¨ odinger operators with threshold singularities, Tokyo J.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Yajima,L 1 andL ∞-boundedness of wave operators for three dimensional Schr¨ odinger operators with threshold singularities, Tokyo J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:57.979851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.809963Z digest=sha256:8af6c358f0ab41e5bce1c301cb7b491c2db6b46f69f75d9ffac14343ba9ce004

Observation e018b2d5-1f51-4deb-ac68-9164981b07d1 · outbound

This paper cites Yajima,TheL p boundedness of wave operators for two dimensional Schr¨ odinger operators with threshold singularities, J.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Yajima,TheL p boundedness of wave operators for two dimensional Schr¨ odinger operators with threshold singularities, J

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:57.961446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.814227Z digest=sha256:53e39a1712539657557260c8f25b28a1b42c4b38c6403b1d07eb1aae77a8d47a

Observation ccae6c8e-7386-4541-b2e1-a0a6a2369593 · outbound

This paper cites an unresolved cited work.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:37:57.937749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.818412Z digest=sha256:60af642d9fe3072fb33558b3986b318c950847b2315b29cbe5c11b4d684caf2c

Observation 300a7379-1f00-476e-845e-eac9035d17a7 · outbound

This paper cites Zheng, X.

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions Zheng, X

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:37:57.913960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T22:37:57.823487Z digest=sha256:0664627bab39d7d00007dadc44c4626c99fd6dae65e00d33147bcee2f8e772d8

Pith citing papers

Observation 249099e8-16cc-4eba-8ad6-3c8bbd5c3669 · inbound

$L^p$ boundedness of wave operators for higher order schr\"odinger operators with threshold eigenvalues cites this paper.

$L^p$ boundedness of wave operators for higher order schr\"odinger operators with threshold eigenvalues The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T19:37:31.407954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:37:31.407954Z digest=sha256:d207fe21c849b8b3b59fdb7d97c0217bbe8d501850efbae4c04497b81ff9eb43

Observation a61ae2b1-4b27-4ed8-b685-52ff930d0a34 · inbound

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators cites this paper.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T15:52:30.847913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:52:30.847913Z digest=sha256:b886e05c3d188cd1fc49520b372729f1462a36411839e1f523180312a1f12472

Observation e3207650-46d6-42c2-bd75-942e3beff82a · inbound

Decay estimates for the two-dimensional Beam equation with potentials cites this paper.

Decay estimates for the two-dimensional Beam equation with potentials The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T11:19:18.235677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:19:18.235677Z digest=sha256:c3d333bd571c50fbb0cd8d9fd407d87900705aa312761858ac6188a9809dd2ce

Observation 076634c0-5ef5-4657-9fca-9c6b6d21b6f6 · inbound

Counterexamples to the $L^1$ and $L^{\infty}$ boundedness of the one-dimensional wave operators cites this paper.

Counterexamples to the $L^1$ and $L^{\infty}$ boundedness of the one-dimensional wave operators The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-03T23:19:03.636541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-26T22:33:39.892883Z digest=sha256:cb694b9b50ca432c1d9a4f0e84bd0229e092b04961ec831aca2db4da7515ebcf