Paper Citation Record · LEDGER

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case

As of 14 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2507.04467.

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pith.paper-citation-record.v1
2507.04467 v1

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measured 49 of 49 reference resolution

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measured 49 of 49 standing notices

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49 of 49 outbound references displayed

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Outbound references

Observation a3789468-f315-47fd-a9bb-8d5035b3453b · outbound

This paper cites A blueprint for the formalization of Carleson's theorem on convergence of Fourier series.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case A blueprint for the formalization of Carleson's theorem on convergence of Fourier series

Reference 1

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Observation 43fa4adc-890e-4774-8a98-2d88f82aaf57 · outbound

This paper cites On the hybrid trilinear Hilbert transform.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case On the hybrid trilinear Hilbert transform

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:28.264190Z

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Observation eb1ae9f6-8738-4cd1-9c1c-ea8effd2539d · outbound

This paper cites The non-resonant bilinear Hilbert-Carleson operator.Adv.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case The non-resonant bilinear Hilbert-Carleson operator.Adv

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:28.113346Z

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Observation 03ce885c-934a-4f22-9488-2430e70fd831 · outbound

This paper cites Bergelson and A.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Bergelson and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:27.919717Z

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Observation c0d53fdb-a557-47ce-b85d-83f7e1f8c494 · outbound

This paper cites Calder´ on.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Calder´ on

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:27.792528Z

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Observation 38f533b7-7f60-4cb6-ba0d-f1711fe56804 · outbound

This paper cites an unresolved cited work.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:54:27.627875Z

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Observation 2f28c4db-1211-47c0-a3ab-0c1ee2426ada · outbound

This paper cites an unresolved cited work.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:54:27.457617Z

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Observation eb8d8978-9a91-4fc3-9aee-21c90e643b66 · outbound

This paper cites On convergence and growth of partial sums of Fourier series.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case On convergence and growth of partial sums of Fourier series

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:27.138888Z

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Observation 95e8d730-6eae-4365-b363-145412c9c369 · outbound

This paper cites On certain elementary trilinear operators.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case On certain elementary trilinear operators

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:26.850672Z

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Observation 75d525bf-44a6-40c7-a7d1-d370ea501d23 · outbound

This paper cites On multilinear oscillatory integrals, nonsingular and singular.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case On multilinear oscillatory integrals, nonsingular and singular

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:26.510205Z

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Observation 98e45401-27ba-49d2-b119-8a2ccaaaf813 · outbound

This paper cites an unresolved cited work.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:54:26.164320Z

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Observation 97a0bdfe-56e0-4acb-a5c7-918469f9f722 · outbound

This paper cites Norm variation of ergodic averages with respect to two commuting transformations.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Norm variation of ergodic averages with respect to two commuting transformations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:25.881361Z

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Observation 2cb2c82e-3198-44f2-8559-f8777297d230 · outbound

This paper cites A new proof of an inequality of Bourgain.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case A new proof of an inequality of Bourgain

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:25.616266Z

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Observation 4631751f-2f01-4c1b-80a5-06fd61cf3dba · outbound

This paper cites Pointwise convergence of Fourier series.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Pointwise convergence of Fourier series

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:25.442463Z

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Observation ea566175-af7f-48dd-8e72-676e00445492 · outbound

This paper cites A mean ergodic theorem for (1/N) PN n=1 f (T nx)g(T n2 x).

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case A mean ergodic theorem for (1/N) PN n=1 f (T nx)g(T n2 x)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:25.213258Z

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Observation 2ec7fedf-f612-48d0-a53c-6741233446a8 · outbound

This paper cites Non-zero to zero curvature transition: Operators along hybrid curves with no quadratic (quasi-)resonances.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Non-zero to zero curvature transition: Operators along hybrid curves with no quadratic (quasi-)resonances

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:13.634947Z

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Observation 563ebb86-30c7-4801-be53-f9b915321ab4 · outbound

This paper cites non-flat.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case non-flat

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:25.016455Z

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Observation 53ba8ede-2768-4bbf-ac9c-750a7a60c321 · outbound

This paper cites an unresolved cited work.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:54:24.827855Z

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Observation 25f503ab-65b6-47fa-adbe-96138bf33ded · outbound

This paper cites Convergence of polynomial ergodic averages.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Convergence of polynomial ergodic averages

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:24.603874Z

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Observation 2be21864-1a89-4ff1-bfad-fcb51b1068f2 · outbound

This paper cites Polynomial progressions in topological fields.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Polynomial progressions in topological fields

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:24.364989Z

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Observation bed1085d-44f3-4918-889d-a51f34da7e67 · outbound

This paper cites On a Carleson-Radon Transform (the non-resonant setting).

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case On a Carleson-Radon Transform (the non-resonant setting)

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:14.364638Z

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Observation ae48a59c-ffa2-4846-9e0a-69ad259b2620 · outbound

This paper cites On the curved n−linear Hilbert transform.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case On the curved n−linear Hilbert transform

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:24.269346Z

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Observation fa9805bf-b103-438c-b043-28115e239812 · outbound

This paper cites On the curved Trilinear Hilbert transform.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case On the curved Trilinear Hilbert transform

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:14.644504Z

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Observation 760a879b-76df-4b93-8d48-d7a9cf60e7d8 · outbound

This paper cites On the curved trilinear Hilbert transform and the curved n-sublinear maximal operator: beyond the Banach range output.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case On the curved trilinear Hilbert transform and the curved n-sublinear maximal operator: beyond the Banach range output

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:24.119947Z

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Observation 15e22b26-07cb-4a52-a44b-754f2f28365c · outbound

This paper cites an unresolved cited work.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:54:23.903585Z

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Observation 6036488d-2878-4cef-b682-f4587b35be6d · outbound

This paper cites The multilinear circle method and a question of Bergelson.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case The multilinear circle method and a question of Bergelson

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:15.053118Z

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Observation 569b0151-e3e6-40c0-80d8-3a4e8ec83969 · outbound

This paper cites Dyadic triangular Hilbert transform of two general functions and one not too general function.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Dyadic triangular Hilbert transform of two general functions and one not too general function

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:23.676902Z

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Observation 9c5c98f0-a7f6-42e8-b2b0-199f3adc71a2 · outbound

This paper cites Polynomial progressions in topological fields.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Polynomial progressions in topological fields

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:23.464572Z

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Observation 645d4aa8-2a60-4d5d-97d4-606e273b8964 · outbound

This paper cites Lp estimates on the bilinear Hilbert transform for 2 < p <∞.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Lp estimates on the bilinear Hilbert transform for 2 < p <∞

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:23.262240Z

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Observation 3ca5a7d6-132d-4a92-9bf5-c2d347e5bd27 · outbound

This paper cites On Calder´ on’s conjecture.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case On Calder´ on’s conjecture

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:23.068790Z

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Observation c74a94b7-1081-4ee1-9493-c0d1cdcfdd77 · outbound

This paper cites an unresolved cited work.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:54:22.909247Z

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Observation 467d4bf7-2050-4594-80a9-02f25dee0c82 · outbound

This paper cites an unresolved cited work.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:54:22.699349Z

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Observation 5e9bf05d-8f71-4954-b123-321671ee9b81 · outbound

This paper cites Bilinear Hilbert transforms along curves I: The monomial case.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Bilinear Hilbert transforms along curves I: The monomial case

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:22.558986Z

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Observation e509546a-08b3-465b-b8fb-4b53b99a72f6 · outbound

This paper cites Uniform estimates for bilinear Hilbert transforms and bilinear maximal functions associated to polynomials.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Uniform estimates for bilinear Hilbert transforms and bilinear maximal functions associated to polynomials

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:22.366820Z

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Observation 0142b6a8-f0c7-4a63-b176-b03768b33af3 · outbound

This paper cites Interplay between multilinear singular operators and multilinear maximal oscillatory operators of Carleson type.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Interplay between multilinear singular operators and multilinear maximal oscillatory operators of Carleson type

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:22.199574Z

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Observation 7b70fa63-81f1-4f55-929d-a97095e3583b · outbound

This paper cites A Note on the Polynomial Carleson Operator in higher dimensions.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case A Note on the Polynomial Carleson Operator in higher dimensions

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:16.308701Z

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Observation 953a8f17-ca94-4a81-9c98-762129ff024a · outbound

This paper cites The (weak- L2) boundedness of the quadratic Carleson operator.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case The (weak- L2) boundedness of the quadratic Carleson operator

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:22.050870Z

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Observation 3a5c078c-d941-481b-a37a-427973b49f86 · outbound

This paper cites non-flat.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case non-flat

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:21.761422Z

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Observation 3fc36da1-310c-485d-8a47-70cf87db10e2 · outbound

This paper cites non-flat.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case non-flat

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:21.444908Z

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Observation fbdc79a3-d829-4f8a-8c02-34b497c08a9c · outbound

This paper cites The polynomial Carleson operator.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case The polynomial Carleson operator

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:21.134064Z

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Observation 57034b24-44e9-41d9-813c-11f86f87499d · outbound

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The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:54:20.773245Z

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Observation b5028a1c-4cfb-47d5-ac0a-cdea6b6d3e14 · outbound

This paper cites an unresolved cited work.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:54:20.461375Z

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Observation f754eb5b-0281-4bcb-83a9-c3894d27e392 · outbound

This paper cites Stein and Stephen Wainger.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Stein and Stephen Wainger

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:20.177210Z

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Observation 14bc5203-e461-4a74-b81e-35862ef78816 · outbound

This paper cites Stein and Stephen Wainger.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Stein and Stephen Wainger

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:19.959672Z

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Observation 371bf574-abce-46ff-8019-832459385e6b · outbound

This paper cites Szemer´ edi.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Szemer´ edi

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:19.670201Z

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Observation 3a10e62a-83a2-449b-b595-e982bf66498e · outbound

This paper cites Szemer´ edi.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Szemer´ edi

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:19.356592Z

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Observation 8dda8b9c-3d60-4f92-9a14-6c4c41686ce8 · outbound

This paper cites A uniform estimate.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case A uniform estimate

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:19.109514Z

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Observation 7c2ef1c7-1756-4c34-a6a0-4c774e224380 · outbound

This paper cites Universal characteristic factors and Furstenberg averages.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Universal characteristic factors and Furstenberg averages

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:18.869109Z

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Observation eeccce12-512a-4305-92f7-be78da4a0d59 · outbound

This paper cites Simion Stoilow.

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case Simion Stoilow

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:18.616678Z

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