Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 1 inbound Pith citation observation for arXiv:2509.18003.

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

pith.paper-citation-record.v1
2509.18003 v2

Coverage vector

measured 62 of 62 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T15:52:38.859838Z

measured 63 of 63 standing notices

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T12:38:56.753360Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T06:27:42.617708Z

Reference resolution

62 of 62 outbound references displayed

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Outbound references

Observation d41b0631-ea8d-469d-8228-d958ca4efc18 · outbound

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

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Agmon,Spectral properties of Schr¨ odinger operators and scattering theory.Ann

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:30.200104Z

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Observation fad71384-a590-4b1f-8ce6-3bf58562533f · outbound

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

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Beceanu,Structure of wave operators for a scaling-critical class of potentials

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:30.288115Z

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Observation 3b92d38e-29f8-4524-b68a-5ba81cfaea60 · outbound

This paper cites Beceanu, and W.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Beceanu, and W

Reference 3

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Observation 6eee6acf-b7ed-42a8-93eb-19ff2e0bce51 · outbound

This paper cites Beceanu, and W.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Beceanu, and W

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:30.581584Z

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Observation 969093b9-240a-424f-b122-c9d704272e83 · outbound

This paper cites Bellazzini, V.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Bellazzini, V

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:30.722048Z

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

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

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

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Observation 5e4b5607-0bfd-4903-96bc-daf67f6f6f03 · outbound

This paper cites an unresolved cited work.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:31.153872Z

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Observation cb743682-966d-4d39-afa8-e02dbb7624f4 · outbound

This paper cites Cho and S.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Cho and S

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:31.338196Z

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Observation 3ccd139a-e821-411a-8b12-267f6a1f4352 · outbound

This paper cites an unresolved cited work.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:31.511671Z

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Observation 19f576c8-29bc-4811-861f-ef0e31f3c699 · outbound

This paper cites Cuenin,Embedded eigenvalues of generalized Schr¨ odinger operators, J.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Cuenin,Embedded eigenvalues of generalized Schr¨ odinger operators, J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:31.629104Z

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Observation 9d6cc100-8773-477d-93b9-ca2ebf1862e7 · outbound

This paper cites D’Ancona, and L.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators D’Ancona, and L

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:31.745041Z

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Observation 4234473b-53a7-4c52-a458-d7b829acb174 · outbound

This paper cites an unresolved cited work.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:31.871431Z

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Observation 6cb9b7bf-deb2-41c1-9a1c-54706f96a343 · outbound

This paper cites an unresolved cited work.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:32.034021Z

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Observation 80c605fb-483f-46b5-8abd-c7fbd5afac6b · outbound

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The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 14

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Observation a7d6c236-c9e9-45f2-8ccd-5da9c458aafa · outbound

This paper cites an unresolved cited work.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 15

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Observation 33e47e22-67fe-4993-a0fb-be70447e0e38 · outbound

This paper cites an unresolved cited work.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 16

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Observation 99c219d9-bf92-4cfa-b408-c408f7ff3752 · outbound

This paper cites an unresolved cited work.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:32.554621Z

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Observation 3c86be03-5f2f-4052-a698-6d82f30e6ec8 · outbound

This paper cites an unresolved cited work.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 18

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Observation 61ba3b79-c896-4dd1-a61f-413d5e5c0b9c · outbound

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

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators $L^p$ boundedness of wave operators for higher order schr\"odinger operators with threshold eigenvalues

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:32.848879Z

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Observation 5290edca-5ffb-4e55-bfe7-7e3c7581ed4a · outbound

This paper cites an unresolved cited work.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:32.967498Z

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Observation f6b6d999-ce7a-4cad-b959-27b88a7475bf · outbound

This paper cites Feng and H.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Feng and H

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:33.056435Z

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Observation d5a56eac-0cc9-402e-972f-5ab945a7c91f · outbound

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The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:33.140061Z

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Observation eb9004f9-27c9-4ba3-9261-02d048e50004 · outbound

This paper cites Fujiwara, V.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Fujiwara, V

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:33.257293Z

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Observation bad72c66-6037-46f9-97f7-e01c8abda450 · outbound

This paper cites Galtbayar and K.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Galtbayar and K

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:33.467536Z

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Observation 63478bc7-179e-4227-9f2f-07df04dbf3c8 · outbound

This paper cites Ghanmi, S.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Ghanmi, S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:33.583024Z

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Observation 09ddc6ff-bee0-46e7-83ab-c1d1a1380f7d · outbound

This paper cites Goldberg and W.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Goldberg and W

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:33.729247Z

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Observation 8e2867db-c9f6-4c84-b5c6-9e0e064435ce · outbound

This paper cites Goldberg, and W.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Goldberg, and W

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:33.874834Z

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Observation cef06baf-2005-4e21-b144-e10eb3ad141d · outbound

This paper cites Ginibre and G.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Ginibre and G

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:33.987441Z

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Observation d07618f6-bdc8-4367-81a7-eae742f58b11 · outbound

This paper cites Goldberg, and M.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Goldberg, and M

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:34.103474Z

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Observation 6649aedb-14d8-4733-8e50-31c528b19f7a · outbound

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The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:34.311305Z

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Observation 3bcbbde4-e626-4ce0-a77e-108c3942367e · outbound

This paper cites Green, and E.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Green, and E

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:34.468660Z

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Observation ec92c8c1-dc41-4986-8636-6250f4a2ed9d · outbound

This paper cites Guo and S.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Guo and S

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:34.621928Z

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Observation 2e5b7ca5-a705-4c67-a9b1-00d22d1cf01d · outbound

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The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:34.790149Z

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Observation 2b62b5bc-f402-46a2-aa79-55d061e34f01 · outbound

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The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:34.883788Z

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Observation 254081a3-fae6-4ec3-b2b5-8008e3ba56c1 · outbound

This paper cites Hong and Y.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Hong and Y

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:35.023943Z

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Observation b7e200c6-4ca9-43f3-b67f-fd2477f1ba5c · outbound

This paper cites H¨ ormander,The existence of wave operators in scattering theory.Math.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators H¨ ormander,The existence of wave operators in scattering theory.Math

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:35.172972Z

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Observation fde01053-ed52-4c17-98aa-586830e6e2d9 · outbound

This paper cites Ishida, J.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Ishida, J

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:35.368783Z

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Observation 8afb7e80-3214-43a8-b760-ea57f218d9ca · outbound

This paper cites Ishida and K.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Ishida and K

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:35.513785Z

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Observation 0a0746aa-6fbe-4026-aec4-d31e9da0434c · outbound

This paper cites Jensen,Spectral properties of Schr¨ odinger operators and time-decay of the wave functions results inL 2(Rm), m≥5.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Jensen,Spectral properties of Schr¨ odinger operators and time-decay of the wave functions results inL 2(Rm), m≥5

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:35.688135Z

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Observation fe5f5289-0b80-4122-ae5d-989c5695e489 · outbound

This paper cites Jensen, and K.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Jensen, and K

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:35.817158Z

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Observation 4d3199d9-c0f7-4e75-b667-48d4b3bc20ad · outbound

This paper cites Jensen, and K.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Jensen, and K

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:35.942457Z

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Observation f4bbfc98-fe50-4ced-b73e-c4c17c9d324c · outbound

This paper cites Kuroda,Scattering theory for differential operators.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Kuroda,Scattering theory for differential operators

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:36.093714Z

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Observation 50677ef9-3786-4961-a6cc-8eb45968089d · outbound

This paper cites Kuroda,Scattering theory for differential operators.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Kuroda,Scattering theory for differential operators

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:36.196303Z

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Unavailable: canonical work link unavailable.

Observation edeff7bf-a394-4c61-b8c9-c3918c5b67b5 · outbound

This paper cites Laskin,Fractional quantum mechanics and L´ evy path integrals, Phys.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Laskin,Fractional quantum mechanics and L´ evy path integrals, Phys

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:36.377605Z

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Observation 2ec6d876-3a41-4388-832b-31eaf909ff80 · outbound

This paper cites Laskin,Fractional Schr¨ odinger equation, Phys.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Laskin,Fractional Schr¨ odinger equation, Phys

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:36.551609Z

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Observation a428eb3e-2754-4399-b107-5388874906c6 · outbound

This paper cites an unresolved cited work.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:36.697033Z

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Observation 0227c6c3-f29b-484e-9196-b236eda5dd47 · outbound

This paper cites Mizutani,Wave operators on Sobolev spaces.Proc.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Mizutani,Wave operators on Sobolev spaces.Proc

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Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:36.800559Z

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Observation af38737b-d421-4cd6-ae03-289f9cd9fc0d · outbound

This paper cites Mizutani, Z.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Mizutani, Z

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:36.920682Z

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Observation 032c82a7-a760-4337-8f28-6bf1f30ad825 · outbound

This paper cites Mizutani, Z.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Mizutani, Z

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:37.058262Z

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Observation 80cc36de-eb12-4a51-b216-5b050046f214 · outbound

This paper cites Mizutani, Z.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Mizutani, Z

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:37.194004Z

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Observation b5b419dd-b5e3-4cbe-9a4e-515562a5ea4a · outbound

This paper cites Peng and Q.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Peng and Q

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:37.314978Z

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Observation 094e5319-c7f1-4a93-927d-a7e34b4fa2f2 · outbound

This paper cites Schechter,Scattering theory for pseudodifferential operators,Quart.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Schechter,Scattering theory for pseudodifferential operators,Quart

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Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:37.432893Z

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Observation 7cc924e0-389e-4507-8a6f-7fc3b99f1392 · outbound

This paper cites Schechter,Scattering theory for elliptic operators of arbitrary order.Comment.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Schechter,Scattering theory for elliptic operators of arbitrary order.Comment

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Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:37.564532Z

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Observation 9b09f975-f43d-4852-a472-56f0edb99723 · outbound

This paper cites Wei and Z.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Wei and Z

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:37.724220Z

Source-reported events for the cited work

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Observation aba5701c-7961-4540-b980-dd93b4809d4b · outbound

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

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Yajima,TheW k,p-continuity of wave operators for Schr¨ odinger operators.J

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Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:37.902341Z

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Observation 3ec2a2eb-0283-414e-8505-c52209213874 · outbound

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

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Yajima,TheW k,p-continuity of wave operators for Schr¨ odinger operators

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:38.031342Z

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Observation b7e8618c-8ddd-4675-bd55-83e9aea56e88 · outbound

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

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Yajima,TheW k,p-continuity of wave operators for Schr¨ odinger operators

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:38.151346Z

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Observation 50b1076e-57fa-4b4d-bfee-439ebbad14b5 · outbound

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

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Yajima,TheL p Boundedness of wave operators for Schr¨ odinger operators with threshold singularities I

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:38.312515Z

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Observation 6da914c6-9f2e-4f6f-8f11-28ef32c9ff87 · outbound

This paper cites Wave Operators for Schr\"odinger Operators with Threshold Singuralities, Revisited.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Wave Operators for Schr\"odinger Operators with Threshold Singuralities, Revisited

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Resolution: unresolved; no resolver link, observed 2026-08-04T15:52:38.487011Z

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Observation db221994-e69f-440a-a711-b0154b8cb6cd · outbound

This paper cites Yajima,Remark on theL p-boundedness of wave operators for Schr¨ odinger operators with threshold singularities, Documenta Mathematica 21 (2016), 391–443.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Yajima,Remark on theL p-boundedness of wave operators for Schr¨ odinger operators with threshold singularities, Documenta Mathematica 21 (2016), 391–443

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This paper cites Yajima,On wave operators for Schr¨ odinger operators with threshold singularities in three dimensions.Tokyo J.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Yajima,On wave operators for Schr¨ odinger operators with threshold singularities in three dimensions.Tokyo J

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This paper cites Zhang, T.

The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators Zhang, T

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Dynamical Amrein-Berthier Uncertainty for Fractional Schr\"odinger Flows cites this paper.

Dynamical Amrein-Berthier Uncertainty for Fractional Schr\"odinger Flows The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators

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