Paper Citation Record · LEDGER

Knapp-type obstructions in multilinear fractal Fourier extension

As of 13 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2602.08568.

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

pith.paper-citation-record.v1
2602.08568 v3

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T03:24:14.363138Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T20:29:15.073363Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T20:27:22.208988Z

Reference resolution

44 of 44 outbound references displayed

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verified fuzzy0
unresolved44
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External citation measurements

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Outbound references

Observation 8465db3d-3dbc-45b4-a30c-44f28bd629bb · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.379574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb9f6846-dcb6-4968-a44a-10b22074444d · outbound

This paper cites Bennett, N.

Knapp-type obstructions in multilinear fractal Fourier extension Bennett, N

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.416297Z

Source-reported events for the cited work

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Observation d7be35bf-d5aa-497a-8acb-af98e40b9239 · outbound

This paper cites Bennett, A.

Knapp-type obstructions in multilinear fractal Fourier extension Bennett, A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.501959Z

Source-reported events for the cited work

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Observation b54bd5ed-1495-44c8-81f1-ad47e8ca5048 · outbound

This paper cites Bejenaru, The almost optimal multilinear restriction estimate for hypersurfaces with curvature: the case ofn−1 hypersurfaces inR n−1.Int.

Knapp-type obstructions in multilinear fractal Fourier extension Bejenaru, The almost optimal multilinear restriction estimate for hypersurfaces with curvature: the case ofn−1 hypersurfaces inR n−1.Int

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.551053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e135e79-2450-4f58-b17f-c944157260d2 · outbound

This paper cites Bourgain, Besicovitch type maximal operators and applications to Fourier analysis.Geom.

Knapp-type obstructions in multilinear fractal Fourier extension Bourgain, Besicovitch type maximal operators and applications to Fourier analysis.Geom

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.591409Z

Source-reported events for the cited work

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Observation 849a89bf-00cf-44c7-b6da-9524418ce883 · outbound

This paper cites Bak and A.

Knapp-type obstructions in multilinear fractal Fourier extension Bak and A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.641833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9425e69-a484-488d-95ea-7c90bf30975d · outbound

This paper cites B´ ar´ any, K´ aroly Simon, and Boris Solomyak.Self-similar and self-affine sets and measures.

Knapp-type obstructions in multilinear fractal Fourier extension B´ ar´ any, K´ aroly Simon, and Boris Solomyak.Self-similar and self-affine sets and measures

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.692895Z

Source-reported events for the cited work

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Observation 93f06dfc-df69-4a91-9445-b2f1bd3e5c28 · outbound

This paper cites $L^2$ restriction estimates from the Fourier spectrum.

Knapp-type obstructions in multilinear fractal Fourier extension $L^2$ restriction estimates from the Fourier spectrum

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.742646Z

Source-reported events for the cited work

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Observation d404cf16-b3f4-49b0-b160-01111729d942 · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.787623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 901d29ce-8516-41c1-a2da-fe3c3e9a4217 · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.832913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2675aecf-2867-4c48-acac-7c07d9d5979a · outbound

This paper cites Demeter.Fourier Restriction, Decoupling, and Applications.

Knapp-type obstructions in multilinear fractal Fourier extension Demeter.Fourier Restriction, Decoupling, and Applications

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.885989Z

Source-reported events for the cited work

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Observation f82d54f3-81aa-4a32-83b0-910c7a9568e2 · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.929716Z

Source-reported events for the cited work

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Observation ac57a571-b2dd-44f4-b11d-340ee5461912 · outbound

This paper cites Fefferman,Inequalities for strongly singular convolution operators.Acta Math.,124, pp.

Knapp-type obstructions in multilinear fractal Fourier extension Fefferman,Inequalities for strongly singular convolution operators.Acta Math.,124, pp

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:11.982498Z

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Observation d5493889-0bb8-4051-9419-20ee35b2a1f8 · outbound

This paper cites Ferrante,Different perspectives on the Mizohata–Takeuchi conjecture, University of Birmingham PhD thesis 2024.

Knapp-type obstructions in multilinear fractal Fourier extension Ferrante,Different perspectives on the Mizohata–Takeuchi conjecture, University of Birmingham PhD thesis 2024

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.029596Z

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Observation fd5ca7e4-18a3-4685-9872-81a832c754a0 · outbound

This paper cites Fraser, K.

Knapp-type obstructions in multilinear fractal Fourier extension Fraser, K

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.074842Z

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Observation 1bf21e1b-a14d-4588-b44f-b279ff413fed · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.127499Z

Source-reported events for the cited work

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Observation e2788c9d-4a48-406c-ba0c-079ddfdd56f7 · outbound

This paper cites Guth, Restriction estimates using polynomial partitioning II.Acta Math.,221, No.

Knapp-type obstructions in multilinear fractal Fourier extension Guth, Restriction estimates using polynomial partitioning II.Acta Math.,221, No

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.202169Z

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Unavailable: canonical work link unavailable.

Observation 3ee748f4-2ab4-4fec-8542-1445d410f40e · outbound

This paper cites Hambrook, I.

Knapp-type obstructions in multilinear fractal Fourier extension Hambrook, I

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.257658Z

Source-reported events for the cited work

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Observation 5259b567-5444-4e22-822a-ac6ca2528f35 · outbound

This paper cites Hambrook, I.

Knapp-type obstructions in multilinear fractal Fourier extension Hambrook, I

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.299776Z

Source-reported events for the cited work

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Observation ebd4886e-71b3-4430-94f8-4f921e876d80 · outbound

This paper cites Klainerman and M.

Knapp-type obstructions in multilinear fractal Fourier extension Klainerman and M

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.364995Z

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Observation 681faca9-d878-44b2-b9a0-7393635b6e6c · outbound

This paper cites Klainerman and M.

Knapp-type obstructions in multilinear fractal Fourier extension Klainerman and M

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.394435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1562643-43c4-445a-855e-74960b9557c6 · outbound

This paper cites Klainerman and M.

Knapp-type obstructions in multilinear fractal Fourier extension Klainerman and M

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.450291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec9bb29b-1eef-4344-af66-256f3634fc4e · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.525858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37b7c9c0-b46e-4784-96ac-aa9a8be9e493 · outbound

This paper cites Liang and M.

Knapp-type obstructions in multilinear fractal Fourier extension Liang and M

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.597891Z

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Unavailable: canonical work link unavailable.

Observation 1cb98445-9e5b-46dc-b38c-26df4c627ae3 · outbound

This paper cites Mattila.Fourier analysis and Hausdorff dimension.

Knapp-type obstructions in multilinear fractal Fourier extension Mattila.Fourier analysis and Hausdorff dimension

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.623891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 112ecb82-df65-4c0e-8234-aa222896cabc · outbound

This paper cites Mattila.Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability.

Knapp-type obstructions in multilinear fractal Fourier extension Mattila.Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.680729Z

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Unavailable: canonical work link unavailable.

Observation e0f9fb19-5d8c-43bc-8195-fb3f9466bbbd · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.719444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5dad3cd2-0e7e-4a29-bf7c-d127e988d23d · outbound

This paper cites Mockenhaupt.

Knapp-type obstructions in multilinear fractal Fourier extension Mockenhaupt

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.801337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2063aa8b-592f-4e50-9fc6-cfb0b27ed0ea · outbound

This paper cites Muscalu and I.

Knapp-type obstructions in multilinear fractal Fourier extension Muscalu and I

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.849387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d47a80ef-7b5b-4b42-973c-41e0ced4a6bf · outbound

This paper cites Nazarov, Y Peres, and P.

Knapp-type obstructions in multilinear fractal Fourier extension Nazarov, Y Peres, and P

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.899133Z

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Observation 6bee52f8-b429-4fc1-881e-a5ea87f365c7 · outbound

This paper cites Oliveira e Silva.

Knapp-type obstructions in multilinear fractal Fourier extension Oliveira e Silva

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.945259Z

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Unavailable: canonical work link unavailable.

Observation 4e76ab6d-9b9d-43c5-bca4-2671e974ad0f · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:12.999008Z

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Observation c36a8f5c-93af-466a-b582-29b0d728102f · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:13.055726Z

Source-reported events for the cited work

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Observation 48a70fdc-4026-444f-a84f-186ac0c9761d · outbound

This paper cites Shmerkin and B.

Knapp-type obstructions in multilinear fractal Fourier extension Shmerkin and B

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:13.195271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3834ede-b8d5-4f72-8c3f-9e42d5a80934 · outbound

This paper cites Stein,Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton Material Series 43.

Knapp-type obstructions in multilinear fractal Fourier extension Stein,Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton Material Series 43

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:13.304251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 210eb8ed-67a4-43f6-bb4b-86da5b99dd14 · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:13.427512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53ecbb73-1dda-4a0d-916c-2b709d22ee09 · outbound

This paper cites Tao, A sharp bilinear restriction estimate on paraboloids.Geom.

Knapp-type obstructions in multilinear fractal Fourier extension Tao, A sharp bilinear restriction estimate on paraboloids.Geom

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:13.609205Z

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Unavailable: canonical work link unavailable.

Observation def3445f-8fb7-4c68-a5f7-52759d684068 · outbound

This paper cites Tao,Recent progress on the Restriction conjecture.

Knapp-type obstructions in multilinear fractal Fourier extension Tao,Recent progress on the Restriction conjecture

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:13.700610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a66793f-afd9-409d-9b17-ada2909a6ff9 · outbound

This paper cites Trainor, (2019).

Knapp-type obstructions in multilinear fractal Fourier extension Trainor, (2019)

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:13.832127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e760a3a1-d8f3-4c95-9b5b-0890ec3dbbca · outbound

This paper cites Tomas, A Restriction theorem for the Fourier transform.Bull.

Knapp-type obstructions in multilinear fractal Fourier extension Tomas, A Restriction theorem for the Fourier transform.Bull

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:13.932911Z

Source-reported events for the cited work

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Observation d9ca25b1-7f97-4d5f-8466-e996cc1a567b · outbound

This paper cites an unresolved cited work.

Knapp-type obstructions in multilinear fractal Fourier extension Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:14.038885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f441ffd8-f4bb-42d7-b3ac-33ede919f2c8 · outbound

This paper cites Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities.

Knapp-type obstructions in multilinear fractal Fourier extension Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:14.143958Z

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Unavailable: canonical work link unavailable.

Observation 124d9267-e79b-4125-84e5-a0b353b533ee · outbound

This paper cites Math.153, 661–698 (2001).

Knapp-type obstructions in multilinear fractal Fourier extension Math.153, 661–698 (2001)

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:14.247233Z

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Unavailable: canonical work link unavailable.

Observation 5d2714b1-459e-42f1-9705-7b9cfcaa7a0e · outbound

This paper cites Zygmund, On Fourier coefficients and transforms of functions of two variables.Studia Math., 50, (1974).

Knapp-type obstructions in multilinear fractal Fourier extension Zygmund, On Fourier coefficients and transforms of functions of two variables.Studia Math., 50, (1974)

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T03:24:14.363138Z

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Pith citing papers

Observation 00b91600-2a88-4df5-8205-2dd9920dc0b0 · inbound

Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas cites this paper.

Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas Knapp-type obstructions in multilinear fractal Fourier extension

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-07-30T02:04:33.070368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.