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Paper Citation Record · LEDGER

Dispersive estimates for fractional order Schr\"odinger operators

As of 19 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2509.18002.

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

pith.paper-citation-record.v1
2509.18002 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T15:57:27.737580Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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 2026-07-03T06:27:42.615505Z

Reference resolution

36 of 36 outbound references displayed

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External citation measurements

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Outbound references

Observation a558393b-9fcc-48d1-beb7-45125d5633f0 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 1

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source=pdf_text observed=2026-08-04T15:57:25.863982Z digest=sha256:719089155e84f2c00402c0b58f6a4763245ee80cc3bd6851e94343075913fc8d

Observation b0f038fd-a01d-41a1-b87c-3bc098ab7f62 · outbound

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

Dispersive estimates for fractional order Schr\"odinger operators Agmon,Spectral properties of Schr¨ odinger operators and scattering theory.Ann

Reference 2

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source=pdf_text observed=2026-08-04T15:57:25.916774Z digest=sha256:c65f818b61a37923c71c2aa203317e5e164390cfa08a29e3450d7fbf839522d6

Observation 99d7c76b-f529-4996-ae75-2021413fd1ea · outbound

This paper cites Beceanu,New estimates for a time-dependent Schr¨ odinger equation.Duke Math.

Dispersive estimates for fractional order Schr\"odinger operators Beceanu,New estimates for a time-dependent Schr¨ odinger equation.Duke Math

Reference 3

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source=pdf_text observed=2026-08-04T15:57:26.006365Z digest=sha256:8ff9e953455af8013fd06f4d3b0c60570f95fb52574c116d8f497e9af3fe1cca

Observation 95a9f96e-c600-4499-bb9e-ef2ed8924eb0 · outbound

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

Dispersive estimates for fractional order Schr\"odinger operators Beceanu,Structure of wave operators for a scaling-critical class of potentials.Amer

Reference 4

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source=pdf_text observed=2026-08-04T15:57:26.069859Z digest=sha256:6650863bae2938dc28f4b210e961c7a2ae8e7b06d15169e205e35781b165aaef

Observation 7a501ade-c2cc-4b18-96a6-e08f1c7ece34 · outbound

This paper cites Beceanu, and M.

Dispersive estimates for fractional order Schr\"odinger operators Beceanu, and M

Reference 5

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source=pdf_text observed=2026-08-04T15:57:26.105974Z digest=sha256:f99754904cc5afe640fd9dcf40c6abdf994f59a8e9b6e6f6a96668818eb862bf

Observation d1e2b07b-e8c0-483a-9b42-faacbac34664 · outbound

This paper cites Beceanu, and M.

Dispersive estimates for fractional order Schr\"odinger operators Beceanu, and M

Reference 6

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no resolver link, observed 2026-08-04T15:57:26.131524Z

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source=pdf_text observed=2026-08-04T15:57:26.131524Z digest=sha256:43eb3b32fc8eba53473769b9699b22f6f5b57c7ff66642105e2bc3b624236e46

Observation 7b3d8a4d-5e26-4fe3-83d6-cf84e153907f · outbound

This paper cites Beceanu, and W.

Dispersive estimates for fractional order Schr\"odinger operators Beceanu, and W

Reference 7

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no resolver link, observed 2026-08-04T15:57:26.179059Z

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source=pdf_text observed=2026-08-04T15:57:26.179059Z digest=sha256:45ce0e5a7a5d02a109d9dfd6e5b4ec1a71ddbcfd5c075634b69f3b9104a02013

Observation a447e892-89f5-42eb-bc9f-1ae320772952 · outbound

This paper cites Beceanu, and W.

Dispersive estimates for fractional order Schr\"odinger operators Beceanu, and W

Reference 8

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source=pdf_text observed=2026-08-04T15:57:26.233552Z digest=sha256:56d9fe34a2d89668106da3b27872d9cff546a2b51ee7ab69726e8ead3617d317

Observation 4fcf12fd-20cb-4462-90db-08324d1955e7 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-04T15:57:26.332390Z digest=sha256:2158991719479e3e6facd05e7681d607944782ae62c4428d1cd4cb86670171ec

Observation e5b009f0-9a8d-4768-835d-16c3c9c8aeaf · outbound

This paper cites Cho and S.

Dispersive estimates for fractional order Schr\"odinger operators Cho and S

Reference 10

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source=pdf_text observed=2026-08-04T15:57:26.377000Z digest=sha256:c38334dc4faa713776be02ce912e5710bd61ef1124d6dbdcb02a3db9d1e723df

Observation b58772bf-289a-41b1-98e6-03dd7670b516 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 11

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source=pdf_text observed=2026-08-04T15:57:26.438496Z digest=sha256:4227f360d25b9486ee31187a8a734597d624b1054f64e9f11e92ebee69d0eb99

Observation 2ea37e1e-fccd-4632-97bc-c3d61fa9b714 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-04T15:57:26.480168Z digest=sha256:3153191ad5a0fb964366ef0825a31d9e849ccf44c628d6e562e628a08b66e005

Observation c49070b7-69b5-46c3-bbef-f23452f91863 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-04T15:57:26.496868Z digest=sha256:dda94c02fad1e4e2facebf6f7fba41023474b517a6c09955dce88b63599e8637

Observation da1361f4-c32a-4c62-91ee-5bdad34b2322 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 14

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source=pdf_text observed=2026-08-04T15:57:26.548309Z digest=sha256:d211aaae5a561f019d70415286f9caa563d6df287da67983d7ea1ade7ba2c8da

Observation 05a40716-e8d1-4b15-bd3b-fe063d42f571 · outbound

This paper cites B., and Green, W.

Dispersive estimates for fractional order Schr\"odinger operators B., and Green, W

Reference 15

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source=pdf_text observed=2026-08-04T15:57:26.599792Z digest=sha256:4820d19b85fa080b606b2e7254a05db9aa207e97036d166565971b43875698c3

Observation 1ac55649-722c-4504-97c4-8ace30cd588f · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-04T15:57:26.628701Z digest=sha256:49d332dc7cf0cd46b937ec367453007aceb87cacb1112718d989715caf1d094b

Observation 9c76bdb2-54d8-4279-b67f-d5f168a76c1b · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-04T15:57:26.674808Z digest=sha256:5c27f1d9cbedc1cc68bb2d7a18c82184b92bb07a236af2028870fe3fa9116860

Observation 4d5df464-0040-45bd-b358-ed8e8d93d755 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-04T15:57:26.748595Z digest=sha256:3486458339b9ade26e6c689f7e6be8f1b75a642be604ae20d18bf4baf10861c9

Observation a5b932c4-22ab-4019-af63-ca828061f9e6 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-04T15:57:26.774438Z digest=sha256:ef86bb760862dea8c9cf32b5c3aefeac59ee4c82772052b3d374ce1247c200e5

Observation 2899706b-ccdd-44dd-ab83-3cd51ebe8fd9 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 20

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source=pdf_text observed=2026-08-04T15:57:26.809519Z digest=sha256:a8fc4fe7dd63d3aae6007a494bea7efe624f379502ebb0d9577b1f7745118807

Observation f2765d64-368d-421f-be12-bf2eb7aa87f5 · outbound

This paper cites Goldberg,Dispersive bounds for the three-dimensional Schr¨ odinger equation wih almost critical potentials, Geom.

Dispersive estimates for fractional order Schr\"odinger operators Goldberg,Dispersive bounds for the three-dimensional Schr¨ odinger equation wih almost critical potentials, Geom

Reference 21

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source=pdf_text observed=2026-08-04T15:57:26.840194Z digest=sha256:cbaf000dadd797131cdba5a99b8e978060eadb6287b3d5b52c8a365fece29b80

Observation 44ba4067-c706-4d5b-9c8b-151096cb9f24 · outbound

This paper cites GoldbergThe Helmholtz Equation withL p Data and Bochner-Riesz Multipliers.Math.

Dispersive estimates for fractional order Schr\"odinger operators GoldbergThe Helmholtz Equation withL p Data and Bochner-Riesz Multipliers.Math

Reference 22

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no resolver link, observed 2026-08-04T15:57:26.856409Z

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source=pdf_text observed=2026-08-04T15:57:26.856409Z digest=sha256:966fe54ed0109f7293a495d887572ce2691f0f5c8b9454ed13c0c66c2c2629a1

Observation d6f93073-e93d-47a5-a9dd-640be9d829f9 · outbound

This paper cites Goldberg and W.

Dispersive estimates for fractional order Schr\"odinger operators Goldberg and W

Reference 23

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source=pdf_text observed=2026-08-04T15:57:26.921354Z digest=sha256:f5c2a3f58336bfacdff54574d3f0fb622e78f5ee0cd5901ef07864549e6b4366

Observation 54a9add9-4759-4a83-a81f-a04d8c6231c1 · outbound

This paper cites Goldberg, and W.

Dispersive estimates for fractional order Schr\"odinger operators Goldberg, and W

Reference 24

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source=pdf_text observed=2026-08-04T15:57:27.052280Z digest=sha256:6026a2e9ea2bfeb7d85591107b8f3c670e3d1179941d56886af9dbef1fd55c05

Observation 22753000-53cf-4b1c-8091-65a4d1689196 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-04T15:57:27.110589Z digest=sha256:936756ff5138164524618d72ae9e921046d2523afc288b142e73872c773dfe8d

Observation df2fd390-c2b7-4cdd-b02f-42a8299e3cd9 · outbound

This paper cites Green, and E.

Dispersive estimates for fractional order Schr\"odinger operators Green, and E

Reference 26

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source=pdf_text observed=2026-08-04T15:57:27.173475Z digest=sha256:b46f858f20ca430af81413c7465563fad77e4a4a6fec2f656f797ac86881f51f

Observation dfcd00a5-c55f-4b4a-8ec0-4f6aa423645b · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 27

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no resolver link, observed 2026-08-04T15:57:27.197759Z

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source=pdf_text observed=2026-08-04T15:57:27.197759Z digest=sha256:56b122d3f99359a216033b795f7cb85d8a730060d92e656ba6505fabd442c4ff

Observation a085d571-78bd-4bee-b59f-406e4fcbcb76 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 28

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source=pdf_text observed=2026-08-04T15:57:27.252164Z digest=sha256:d63f48341b6fdc8afabf23d69dabfbba850e7f56339885ea312b980ac8ef88c5

Observation 863166ae-ddba-44ef-a351-bc8cc2cb4b91 · outbound

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

Dispersive estimates 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, Duke Math

Reference 29

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source=pdf_text observed=2026-08-04T15:57:27.311502Z digest=sha256:aeab1d8eaf496a450f684a5c5752f2b189fade1e57febf924d368138eb39fb5a

Observation aaad87ff-64b3-467d-9ce9-a5a624a51480 · outbound

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

Dispersive estimates for fractional order Schr\"odinger operators Laskin,Fractional quantum mechanics and L´ evy path integrals, Phys

Reference 30

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:57:27.387793Z digest=sha256:79316794dacbb6f52ffe8cc06c214f664bd5a21bcb7cdb3195a0ba7cccf7ac3e

Observation 51d79f21-0e6c-4cbc-a6e6-13b5ae6315d7 · outbound

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

Dispersive estimates for fractional order Schr\"odinger operators Laskin,Fractional Schr¨ odinger equation, Phys

Reference 31

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:57:27.464753Z digest=sha256:acb3dbe45df9b782662525430c6a4a2397cf4d26658117aa58d3b45c0a7ab6ba

Observation 08f6dbe6-23c4-4f9d-8cfb-08b76c366cb7 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for fractional order Schr\"odinger operators Unresolved cited work

Reference 32

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no resolver link, observed 2026-08-04T15:57:27.593790Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:57:27.593790Z digest=sha256:b948f34b2106209e55dc54afb5d51dd55d70c29daa60a101047cc3fbe4d3a32c

Observation 538999f4-04f2-4858-bc5b-dd52edd18f10 · outbound

This paper cites $L^p$-boundedness of wave operators for bi-Schr\"odinger operators on the line.

Dispersive estimates for fractional order Schr\"odinger operators $L^p$-boundedness of wave operators for bi-Schr\"odinger operators on the line

Reference 33

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source=pdf_text observed=2026-08-04T15:57:27.622591Z digest=sha256:8b75b101915e4bc2ab2ee8d947d0f6355719de75596b78ca5515e6d76163d038

Observation aaa8fcd6-89df-4ff4-801e-7cd98a202a3e · outbound

This paper cites Schlag.On pointwise decay of waves.J.

Dispersive estimates for fractional order Schr\"odinger operators Schlag.On pointwise decay of waves.J

Reference 34

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source=pdf_text observed=2026-08-04T15:57:27.669601Z digest=sha256:ba40704c3b9e6e50444814f2a928ca17f7e399b83d357052a38a870804075cd7

Observation da4b9c54-29a3-4098-b23e-ed56c978f8c9 · outbound

This paper cites Soffer, Z.

Dispersive estimates for fractional order Schr\"odinger operators Soffer, Z

Reference 35

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source=pdf_text observed=2026-08-04T15:57:27.703355Z digest=sha256:2d032ef7d2ea38b719beeaa9c3f6738dc8a7684b9ac518b6c616358af923653b

Observation b63e0bd9-dece-4a2e-8a88-a776edee6a92 · outbound

This paper cites Zhang, T.

Dispersive estimates for fractional order Schr\"odinger operators Zhang, T

Reference 36

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source=pdf_text observed=2026-08-04T15:57:27.737580Z digest=sha256:08e9a97de3dc1a243a0c71baa01280d6d835a53e1ac3729eb5bcd2af9d70ba5c

Pith citing papers

Observation c4d8e122-d9e0-436d-b06a-82b85e28c504 · inbound

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

Dynamical Amrein-Berthier Uncertainty for Fractional Schr\"odinger Flows Dispersive estimates for fractional order Schr\"odinger operators

Reference 11

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verified exact
arxiv_id, observed 2026-07-27T02:21:03.583878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-27T12:38:56.753360Z digest=sha256:d6c6330ddcfb6f97a3729b50b4770a213a91f9e19d0ee02fc12c24564d659a28