Paper Citation Record · LEDGER

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.01833.

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

pith.paper-citation-record.v1
1908.01833 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:19:28.940083Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

verified exact2
verified fuzzy19
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1416df46-6790-462e-895c-5326ae2612b8 · outbound

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

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Carleson, On convergence and growth of partial sums of Fourier series

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.340713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 42eb97ef-adb1-4cce-b103-1f6f6fee5fe4 · outbound

This paper cites Christ, Hilbert Transforms Along Curves: I.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Christ, Hilbert Transforms Along Curves: I

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.325954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 61fc97d3-19ec-407d-a13f-0141c88747fe · outbound

This paper cites Christ, E.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Christ, E

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.310983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b554383c-7cd4-415d-910d-f2a696fa83c0 · outbound

This paper cites Fabes, N.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Fabes, N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.295416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b65172bd-7bce-451c-81e2-74662e008cce · outbound

This paper cites Feﬀerman, ointwise convergence of Fourier series.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Feﬀerman, ointwise convergence of Fourier series

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.277432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 211640ad-1653-4823-910e-be82ea57744d · outbound

This paper cites Grafakos, Modern Fourier Analysis, 3rd edition.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Grafakos, Modern Fourier Analysis, 3rd edition

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.262465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ebcf2955-11e9-4698-a5a3-a8640ffacab0 · outbound

This paper cites Guo, A remark on oscillatory integrals associated with fewnomia ls.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Guo, A remark on oscillatory integrals associated with fewnomia ls

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.248049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9ff232a2-3739-456d-b611-a0f3ee433b72 · outbound

This paper cites Guo, Oscillatory integrals related to Carleson ’s theorem: frac tional monomials.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Guo, Oscillatory integrals related to Carleson ’s theorem: frac tional monomials

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.233909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ecc752ad-3936-46c2-b53e-d8d18954c494 · outbound

This paper cites an unresolved cited work.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:19:29.220420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a1d0c031-ecf1-4078-94bd-2da98b43d91f · outbound

This paper cites an unresolved cited work.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:19:29.204919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 39b47a78-4e80-4c5a-a45b-8bdd19e90f2a · outbound

This paper cites Hunt, On the convergence of Fourier series.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Hunt, On the convergence of Fourier series

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.187051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3511860b-5918-4f24-a9a7-ecf4306ab453 · outbound

This paper cites Lacey, C.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Lacey, C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.171243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 10a3d3f2-c0c3-46d7-9433-6a33072a29bd · outbound

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

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Lie, The (weak-L2) boundedness of the quadratic Carleson operator

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.150577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 647a2694-4bfb-43d7-90bb-311b3f742c76 · outbound

This paper cites The Polynomial Carleson Operator.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals The Polynomial Carleson Operator

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:19:29.010435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 429f8cb1-6661-4faa-84d5-5bd6bf1f8a1a · outbound

This paper cites Nagel, N.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Nagel, N

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.133235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 966647b7-578e-42c4-a2d2-c424496ba568 · outbound

This paper cites Nagel, N.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Nagel, N

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.117746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a2c61265-416d-487b-8309-244ae72c069c · outbound

This paper cites Pierce, P.L.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Pierce, P.L

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.100904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3754afd5-2f0b-4134-9620-bd8c96112646 · outbound

This paper cites Roos, Bounds for anisotropic Carleson operators.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Roos, Bounds for anisotropic Carleson operators

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.086400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5bc8f6c1-d559-425d-a258-65e7dfd83c3e · outbound

This paper cites Seeger, T.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Seeger, T

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.071500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 33376441-4f1f-4de9-b275-71a263b82ac2 · outbound

This paper cites Stein, Harmonic Analysis: Real variable methods, Orthogonality, and Oscilatory integrals, Prince- ton University Press, Princeton, NJ, 1993.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Stein, Harmonic Analysis: Real variable methods, Orthogonality, and Oscilatory integrals, Prince- ton University Press, Princeton, NJ, 1993

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.056268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5bab5db6-6465-4b1d-810e-04a98b8d7f3c · outbound

This paper cites Stein, Oscillatory integrals related to Radon-like transforms.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Stein, Oscillatory integrals related to Radon-like transforms

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.041352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a06cf893-91c6-42ec-83a7-5d696ddb0b6a · outbound

This paper cites Stein, S.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Stein, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:19:29.024581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2db9da72-88ee-4af2-a205-826b9eedf4b3 · outbound

This paper cites Maximal polynomial modulations of singular integrals.

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals Maximal polynomial modulations of singular integrals

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:19:28.987138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.