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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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.575998Z digest=sha256:c7df3b3a89afa13783270fe90233e758419d7e4709fec0d21d619f609bba5692

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.580609Z digest=sha256:c680e889730419751d813efa8d0983ff5d7c0805acda4faec7b721185bb87532

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.589501Z digest=sha256:bde015cd11fd192f24d934f6c5bbc06bae01431a41b25b37a9e9e4994226b48d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.593916Z digest=sha256:c8fbcd9a1534b78e01edc1b604086d1efe5695f7919496896391b52fe194eaf2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.597942Z digest=sha256:8266bd968aaaac154cbac7a8d75fc3738291a507dda528653c1ea54eadf187bf

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.602209Z digest=sha256:c3f77def26581823bef60e01b4fb9aa4814795a3a350b12d1d35cf3691551dda

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.605985Z digest=sha256:69d2b593d73b3495f3deebfc64a76202b6606995b1dad22d1485b728feaba321

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.609719Z digest=sha256:f5e568dd61044f2b792e6b71916433a5e2023366b689c897eb846109b801006e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.613577Z digest=sha256:1d6d84b2eccc3ecd5e581966c5c4a06d6b676d36c5efc61f44b99d48a1d4d435

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.617225Z digest=sha256:65fdb0026690a37aed38aafc5b13d6b53e097abb92251db03f8a5c5bc0bf1991

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.621168Z digest=sha256:a61a72da11b4bdc44395bb4e68e3cdf4f0bf19d3b79cb3901ead3795bead794e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.625361Z digest=sha256:29b5669dba7b4734c0a98b7ca916218b6520c7466b2b6dd12d7f76faff45536b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.629422Z digest=sha256:348d144b2e21830c507568a3d66c111ae9aa202b08f6d0c62a5c6b75f0d483f3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.632990Z digest=sha256:e838e405f69e9a1237391980737c1f2cc3e9efab182e304b8ce51ea7ca90c1e0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.636790Z digest=sha256:16babce37103ea4610c2466c5e68cbe4cdaf47c4c91199e5c069c2cec798dd2b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.641193Z digest=sha256:49cd39862cd52cb77f3845cd5eda46633243e5262b16408aaefc89a438aea3b4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.658473Z digest=sha256:a9d97d9f8570e43faa6f7895835031b50a8e600fc426b6c33990a1560e4f8c00

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.663015Z digest=sha256:98e78bb81a765e185a1016d8fbb98bf8ab6763d12fe0395f6a3239b9be585270

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.667342Z digest=sha256:08fcc5e8e036946ca79bce881b0b0dd3b4e26c776772d8c56ffc087a6e73a55f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.671977Z digest=sha256:fe3d64f326db391cd3948080ab1ad10380c6521d2a0112f105a6ff0ebf5dbd46

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.676642Z digest=sha256:d401e0de82a70c823eeb3834fb7cb3fd6b7878886083bfabc25cc6dfa707339a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.680438Z digest=sha256:6332521482de69762d620dd99bdec5204066e569b7fb5afcaf2acc0f6c1b0d9e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.684480Z digest=sha256:f0ebdb3d3499f661f1e57b8a874101b5c63a8f61f90133f6d60f5929dcbb4109

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.688045Z digest=sha256:715e155107b76d685bf3e41bb1743e29317f5cfa13725427ac63accbc1fbb08e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.692759Z digest=sha256:a179a5c4dd3285f617ac2cdf7bcc0e14db4f62706a5b4485898c4a112adaea68

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.696864Z digest=sha256:434d4bb95234352e0e14220396027efc37cb906e74fb88ffc2b2796e139cb997

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.700714Z digest=sha256:6e5685e4d9fa456bafac62e89109ee8689f512ab2e70e6d2145786bbc07c570f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.704978Z digest=sha256:b0f0ad3691c46b12127d63277987695901510164313ff02c049253ae47b9e0a5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.709520Z digest=sha256:4145ff05a39ee20498b843720e6833628a8bfd27cd5608007f7cf7167a34965b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.713345Z digest=sha256:ad258c9269d28fe48f2ce0d1c0354a1593d429a55b08d9fbae4ae0f935b8b817

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.717961Z digest=sha256:064c7a23f75758a901eda079d497577a29546c498cb147cd7787ba8ae60cf0cd

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.721950Z digest=sha256:9ec1bb40658975ac37d63f57c149f00e436052c0476633f4028aed52f6dd2397

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.725652Z digest=sha256:1124c8a572cc4909e73da425090713204f2049df8f34dc55a97f37f5852d2ba1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.729371Z digest=sha256:99c997e9392d6347087c44011fd0bd53a5d9e790bd506d304fc01dcf89bedc70

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.733546Z digest=sha256:93146a5eba263c32eea5acaa121cb6b4ee6b64d2193cb8437f6a3d5a08441f8d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.738309Z digest=sha256:ce08a0af9b13e09c9d245b0eed329bca7f21b2bdef700dccbd57899d6a92effd

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.742355Z digest=sha256:6cc10e7513778a1c6a651e296d623f4ac03dfcdca6dcd236836d36e2b2e4630c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.746928Z digest=sha256:68b8ce8992fad7bcbecd910fc2a20e4ed3ffe5fb61e8f93acac808992674933d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.753615Z digest=sha256:44d4c3dee9aa7a44c5269f9b9eecda76bb03fd5ba9afaf709d82b64651c08100

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.759377Z digest=sha256:abbfba5ad217b4b329f7d0f88819d82e6bd21d19816116666e79bdb674411f5c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.764515Z digest=sha256:7e5d5ad21c2ea301731c6435a526b755a4805585af618eaf5ed4baaeb916960a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.771598Z digest=sha256:1b1beba4639b716f14da7fd6da428a2d545a36e881cb013b7c805fb6c65ef447

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.777193Z digest=sha256:e66809ac3d3495411cde0042172888448f00a97847c7f71498469cbe8d090ecc

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.789030Z digest=sha256:f55728634a12b904ca9159905b067603c6334ca9725ba03524a493f2a2a9671f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.794472Z digest=sha256:90b8ae21c1f5a981bb7555fc45ebcc9f9fcf3a12b5675d2eebe63ffd54bc6a5b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.800311Z digest=sha256:bb00de86afc9cf67aad1e364e11c1476ce8758d052637c896452b71bef72e701

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.805211Z digest=sha256:662b950c95fcbd065cf98cc752d9eb7f0606fc84aeaf63b48412bb3907e28898

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.809963Z digest=sha256:fce977b822487d2e84a24aee02906af2a797268454c04119015ac44d485bdbd5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.814227Z digest=sha256:d3e3dd23544eef78f8a4360d04ce3944da1877d04b6d9d7942345f2bab59599e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.818412Z digest=sha256:9524d604ae1b912118ede660a1001f3b6590462469aca29c3b217e6369beffb3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:37:57.823487Z digest=sha256:a13be80c5da51e82b4b03c24d960c7d09a77dd6ace25383ec2c45f937c86ce71

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-26T22:33:39.892883Z digest=sha256:8a5046904dd9710dbd12b73e6157666aaf12a0361800481f3b0719eb587a32e2