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Paper Citation Record · LEDGER

Knapp-type obstructions in multilinear fractal Fourier extension

As of 8 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 2026-08-08T06:32:00.761636+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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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

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source=pdf_text observed=2026-08-03T03:24:11.379574Z digest=sha256:4a8565d891b389532170d524859fffaa946c282cf5728bf7e2e4c6c53972654d

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

This paper cites Bennett, N.

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

Reference 2

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source=pdf_text observed=2026-08-03T03:24:11.416297Z digest=sha256:c4e5b4e76807cd1ec25dc90ad96c130178357ee6378ad9f89c56b2446b13e2a5

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

This paper cites Bennett, A.

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

Reference 3

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source=pdf_text observed=2026-08-03T03:24:11.501959Z digest=sha256:9622abec1b34e656a637681355e5a224c7d5378b8972fae087b33fad44e28d7b

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

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source=pdf_text observed=2026-08-03T03:24:11.551053Z digest=sha256:78bb0089eb384c68c63d8d0055eea4ea3a2873f0a71000fe2cdfef5af2faec97

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

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source=pdf_text observed=2026-08-03T03:24:11.591409Z digest=sha256:10eac7bd51974fbbb40cab0ea1c1c51f81218edecb97ad43a25ebc65255127fd

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

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source=pdf_text observed=2026-08-03T03:24:11.641833Z digest=sha256:27d86f931aaed2062285b2ce9b428cba625def12b31f9d55f83c46d6b10a6984

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

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source=pdf_text observed=2026-08-03T03:24:11.692895Z digest=sha256:eef74ce38178eb5bf2941ed8053c36c63ff9974d6e7f045bf57238e480bfee57

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

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source=pdf_text observed=2026-08-03T03:24:11.742646Z digest=sha256:f02a1e4576638e3cbfd5a8ad2e4ee31d76e7210d8ecde2760df4fcbd46d9f4b6

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

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source=pdf_text observed=2026-08-03T03:24:11.787623Z digest=sha256:c6e9a1f00a6e82ca40053dca0d44c2b4b6e9ac87f369334338251382cae11853

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

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source=pdf_text observed=2026-08-03T03:24:11.832913Z digest=sha256:95c17c57b7a20738d790d5d88dd6287610f1707c7fe6e15c5977fe77f37372dc

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

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source=pdf_text observed=2026-08-03T03:24:11.885989Z digest=sha256:67049c75a2c6183fae185a6882391b68ea1e886a9190ed3cffde5ff14c459d4b

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

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source=pdf_text observed=2026-08-03T03:24:11.929716Z digest=sha256:0786ead5b23fff265164898ea2ed57b433e936989a1141b61e3e780ae92dd62d

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

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source=pdf_text observed=2026-08-03T03:24:11.982498Z digest=sha256:e77627f611ba88297752bcb9af2b1a5a909d5f1685cfa63de6a055c6caabc837

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

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source=pdf_text observed=2026-08-03T03:24:12.029596Z digest=sha256:985eb04b42ee55c6feeb4fcb7fdee2dc4f236014b99900ed058110f54a1c3604

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

This paper cites Fraser, K.

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

Reference 15

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source=pdf_text observed=2026-08-03T03:24:12.074842Z digest=sha256:77c9a5637ea6a8c6a102bf41c132064349637bd8646d3917e518a52f8e0166cd

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

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source=pdf_text observed=2026-08-03T03:24:12.127499Z digest=sha256:a363e6ed576f7ecaa13ea8c3a2b248aec7f1143554b9ebe1b6beea5688e2b9b2

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

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source=pdf_text observed=2026-08-03T03:24:12.202169Z digest=sha256:c9b695107ed4a4c6777664f9736ccb350b9f4f580476ddeff80b02452e8a6e04

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

This paper cites Hambrook, I.

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

Reference 18

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source=pdf_text observed=2026-08-03T03:24:12.257658Z digest=sha256:288fd21a1621dd1abf8002b52f3ab165bad11a55b204560ebb9cee21b04cfa75

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

This paper cites Hambrook, I.

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

Reference 19

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source=pdf_text observed=2026-08-03T03:24:12.299776Z digest=sha256:39e7e518ef89811c97c30abfb7bf2f0f08876a7ae315cd2f58d95b329187a343

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

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source=pdf_text observed=2026-08-03T03:24:12.364995Z digest=sha256:b06b50331cbabe87d9390d18d33b48783982d022ad996fc3c9c3db39c110543b

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

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source=pdf_text observed=2026-08-03T03:24:12.394435Z digest=sha256:cfb509c6b8336c7163abd241eeac33e6f430618b0613575e49ae1f6c71700569

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

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source=pdf_text observed=2026-08-03T03:24:12.450291Z digest=sha256:6331ab1ea7d7a622314e31b5bd8f1b08995b0559bb0f980a8f610c1d888db394

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

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source=pdf_text observed=2026-08-03T03:24:12.525858Z digest=sha256:34f6f75dc130404abc0ab977e58b5d9c5eee5ec83094c653d873d736db0bfe5a

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

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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

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source=pdf_text observed=2026-08-03T03:24:12.623891Z digest=sha256:900f48209433f7c5bc407687b7f288021407c7d76e49ce69b3df6660179dd03d

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

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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

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source=pdf_text observed=2026-08-03T03:24:12.719444Z digest=sha256:560c31145b6429578993d84ce5768ca0a20dcdac01d02e9d02ef70a2bcbda96b

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

This paper cites Mockenhaupt.

Knapp-type obstructions in multilinear fractal Fourier extension Mockenhaupt

Reference 28

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source=pdf_text observed=2026-08-03T03:24:12.801337Z digest=sha256:35964fb838fc0a9bf7cb3f8c3b7b8cba5b634b0d61abd10edda9c1f073073b86

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

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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

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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

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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

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source=pdf_text observed=2026-08-03T03:24:12.999008Z digest=sha256:e5911afb1b0135d9a62d23ffb0e81ed6ccf30e9f50cd5a7aabe6d0fabb7d9094

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

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source=pdf_text observed=2026-08-03T03:24:13.055726Z digest=sha256:5c4c788ff23272c727083837ec87940d364326d2ffa179f0d9b0534375f8e71b

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

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source=pdf_text observed=2026-08-03T03:24:13.195271Z digest=sha256:90c5cc01a8e098d7d9b4d183e7b6a35b4cf264ab6b7d4752649ed243186359fa

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

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source=pdf_text observed=2026-08-03T03:24:13.304251Z digest=sha256:87a0150eef18d6a9209e268b9c74ca3ea6502df5931062fd42287f16478ade27

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

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source=pdf_text observed=2026-08-03T03:24:13.427512Z digest=sha256:c503f66f5022d1a22ef5c6ef8c037f35e81fc94a818c839e1560306d20f4024b

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

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source=pdf_text observed=2026-08-03T03:24:13.609205Z digest=sha256:7d62b67698fbcd048710573b667301c5dc2a1327e294e3bb2abd5ac190b52a9c

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

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source=pdf_text observed=2026-08-03T03:24:13.700610Z digest=sha256:db9a8e9378225ca039f345aaf91e0c1a7cd67e3c8efdef54c7179e746e3e458c

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

This paper cites Trainor, (2019).

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

Reference 39

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source=pdf_text observed=2026-08-03T03:24:13.832127Z digest=sha256:1f0bb46682c0618ced8edcacdfceed4c1f87c60f318576d38ea9f5adbc682a32

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

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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

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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

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

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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

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

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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

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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

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arxiv_id, observed 2026-07-30T02:04:33.070368Z

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