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Paper Citation Record · LEDGER

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

As of 14 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 8 inbound Pith citation observations for arXiv:2411.08871.

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

pith.paper-citation-record.v1
2411.08871 v3

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T21:21:35.633247Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:21:03.774073Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T07:06:52.536094Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact2
  • verified fuzzy13
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 656bf417-36f4-4357-bc0b-c5643365a601 · outbound

This paper cites The proof of the l^2 decoupling conjecture.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities The proof of the l^2 decoupling conjecture

Reference 1

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no resolver link, observed 2026-08-12T21:21:35.509349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.509349Z digest=sha256:69f01d86c0d79454a7c609a3db3e59e5cc3156c3dff836bd6f48be948ce2b740

Observation 4158b39e-f31c-444d-aeca-ad4291bed657 · outbound

This paper cites Besicovitch type maximal operators and applications to F ourier analysis.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Besicovitch type maximal operators and applications to F ourier analysis

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-12T21:21:36.912131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.514229Z digest=sha256:d21260bf07ec50ee165d1478e85f9f010779044569029491431ce704004c517b

Observation 4d2702a3-64c3-49a5-a9f1-11af5c484274 · outbound

This paper cites Szemer\'edi-Trotter bounds for tubes and applications.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Szemer\'edi-Trotter bounds for tubes and applications

Reference 3

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.518467Z digest=sha256:b15bc6e78ec11b354ab7b8baee63d82b44bafee1df8e0cca22c1100690b0178b

Observation 0bac2840-0dff-4c37-b62a-f2de62be8e9f · outbound

This paper cites Inequalities for strongly singular convolution operators.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Inequalities for strongly singular convolution operators

Reference 4

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raw_fallback, observed 2026-08-12T21:21:36.896980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.523930Z digest=sha256:3c6381b6ab386989edcf819887a04cedd9b350ca81dea34825624f5ca514ca89

Observation 85354261-4168-4037-9e77-e1354cad72ef · outbound

This paper cites A note on K akeya sets of horizontal and SL(2) lines.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities A note on K akeya sets of horizontal and SL(2) lines

Reference 5

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raw_fallback, observed 2026-08-12T21:21:36.881134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.528769Z digest=sha256:a01e4dd8e67761db9e8ff9a0e32be93914e6e1c86d08e1808d8a7c48353d1b1e

Observation 7fa9ffd5-37bd-49e5-991d-22bb7508b1e4 · outbound

This paper cites On F alconer's distance set problem in the plane.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities On F alconer's distance set problem in the plane

Reference 6

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.534409Z digest=sha256:666f864cc6949aaa0b383c1eaf1f9e79b6e64f889426112fb648019a9c3174f4

Observation c375dc2f-b284-428c-bb90-5127e35f9828 · outbound

This paper cites Incidence estimates for well spaced tubes.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Incidence estimates for well spaced tubes

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-12T21:21:36.855883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.539692Z digest=sha256:ea1a13f6580fc67408e69191b34e5e337adde1fb9051e228d88a1db608666d3e

Observation 3a2a521c-f00f-4580-8186-648381da369f · outbound

This paper cites A restriction estimate using polynomial partitioning.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities A restriction estimate using polynomial partitioning

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.544276Z digest=sha256:d435ab242f577b6f4fc0c5f5c676275d1f0d539ca67cb90129685507168412a8

Observation 9f601c46-39e9-4357-9c76-023d755b0e6c · outbound

This paper cites A dichotomy for H\"ormander-type oscillatory integral operators.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities A dichotomy for H\"ormander-type oscillatory integral operators

Reference 9

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local_arxiv, observed 2026-08-12T21:21:36.636753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.549736Z digest=sha256:ad3ac6ce348909637d9e990c65a9bcaa28a2c6e5e6b8385a832d823897c431f6

Observation 005a3be4-9b69-4d47-b223-26eaae72a36a · outbound

This paper cites New bounds for K akeya problems.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities New bounds for K akeya problems

Reference 10

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.554736Z digest=sha256:512ef4ba65bbb50f994c266e52c5efa94226606dc5e353085a9f2daf27b8d324

Observation b065b1b6-4865-42bc-8d2a-1e82c84afdcb · outbound

This paper cites Kakeya sets from lines in SL_2.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Kakeya sets from lines in SL_2

Reference 11

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raw_fallback, observed 2026-08-12T21:21:36.816469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.559269Z digest=sha256:4cb370d63924f085d6b8c27858de47445776f26f08cd7ed75471a2ba9230cd98

Observation 4e8d6767-7072-4afc-9ce1-29587b5b1f7f · outbound

This paper cites An improved bound on the H ausdorff dimension of B esicovitch sets in R ^3.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities An improved bound on the H ausdorff dimension of B esicovitch sets in R ^3

Reference 12

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raw_fallback, observed 2026-08-12T21:21:36.802132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.564486Z digest=sha256:4ab9bc68106a60cee0288466da3a49946c8684b2c008e0991f96895cc981bf23

Observation e1a12e81-e12a-4507-80f1-f6ca09c0f48a · outbound

This paper cites On almost everywhere convergence of planar bochner-riesz mean.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities On almost everywhere convergence of planar bochner-riesz mean

Reference 13

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.570004Z digest=sha256:1f6f98de733ca26703fcb2a64c11c722d9bc89395e4b829d25892c6f2bdafbb6

Observation d984121d-65c7-44a2-85ea-665937e2a66e · outbound

This paper cites Projections, furstenberg sets, and the abc sum-product problem.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Projections, furstenberg sets, and the abc sum-product problem

Reference 14

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.574500Z digest=sha256:1de136899bf9078546dd946ba69377e1feee5e99ca8fd34bb350da162f005c01

Observation 417c796a-fdcc-452a-9e96-d1b5932162c4 · outbound

This paper cites Furstenberg sets estimate in the plane.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Furstenberg sets estimate in the plane

Reference 15

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no resolver link, observed 2026-08-12T21:21:35.579089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.579089Z digest=sha256:fc0e2b9f1b1b118e4b98f6c2b4e30d975c1e376f966ea73aaa4a3150f92add60

Observation 436555e5-491f-4638-9a3b-b2b207a75f1f · outbound

This paper cites A non-linear version of bourgain's projection theorem: Dedicated to the memory of jean bourgain.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities A non-linear version of bourgain's projection theorem: Dedicated to the memory of jean bourgain

Reference 16

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raw_fallback, observed 2026-08-12T21:21:36.787301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.583936Z digest=sha256:e4dbe38a5b35d3417717e591cfbc8870dcc9c71aa0046c0bf2a00b057b5c11f5

Observation 704c4a05-9a10-4076-b6a6-c158ab927764 · outbound

This paper cites an unresolved cited work.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Unresolved cited work

Reference 17

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raw_fallback, observed 2026-08-12T21:21:36.771913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.588438Z digest=sha256:4f550d3ec26ffcdbbb40d0a65b246c4b8d19e4a392bffc946a61f36472a1567b

Observation 222f99d2-404b-4c45-b215-0f85126fbfbc · outbound

This paper cites The B ochner- R iesz conjecture implies the restriction conjecture.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities The B ochner- R iesz conjecture implies the restriction conjecture

Reference 18

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raw_fallback, observed 2026-08-12T21:21:36.755397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.593134Z digest=sha256:cc254e9479e3cd8169fa9eb590452f633705ed10d4ae78c7f66ac2a408e0c527

Observation 0f568487-20b1-422d-8a7d-cdfb3d509b36 · outbound

This paper cites A sharp bilinear restrictions estimate for paraboloids.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities A sharp bilinear restrictions estimate for paraboloids

Reference 19

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raw_fallback, observed 2026-08-12T21:21:36.739979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.597644Z digest=sha256:71bfb3ec1a8a0e9f5a97ece7c9cb4a2807549c4ec630c84e5bdabb77bb846b09

Observation 84f74272-b7fa-4a1a-8fd3-8a5b6c1d9a41 · outbound

This paper cites an unresolved cited work.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Unresolved cited work

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.602465Z digest=sha256:ea152b7387c32df3bb83b2cc1d7e172b7f1a8848bb411829cb9a4aa786bf4ba9

Observation 45f423c0-3f32-490a-8708-2cfbe01eeb91 · outbound

This paper cites An improved bound for K akeya type maximal functions.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities An improved bound for K akeya type maximal functions

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-12T21:21:36.708959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.607074Z digest=sha256:1e4e817fe821bf0627bcfa6511419ce2607747cd171c127e7cb40f6e6a416444

Observation 34774caa-2fd4-490e-bb7f-23069dfac182 · outbound

This paper cites A mixed norm estimate for the X -ray transform.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities A mixed norm estimate for the X -ray transform

Reference 22

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raw_fallback, observed 2026-08-12T21:21:36.693206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.611498Z digest=sha256:9d696d6592369e8cd07b26bc7a88af035d86c0cd33a663c43a08d66868068c46

Observation d45e6ba0-4dec-45bf-b739-bbd7bcafaadd · outbound

This paper cites Local smoothing type estimates on L^p for large p.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Local smoothing type estimates on L^p for large p

Reference 23

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unresolved
no resolver link, observed 2026-08-12T21:21:35.616065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.616065Z digest=sha256:87b8096310f011441901639c31a6311a6a68cdc50bae4111c2beabafad746add

Observation b67c3932-4003-46fe-9ab9-a4b9e2e05d6e · outbound

This paper cites A sharp bilinear cone restriction estimate.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities A sharp bilinear cone restriction estimate

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:21:36.668377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.620556Z digest=sha256:30dfea0a9bf11e47c84210f1664a2fccc5ca2242831b1b367bc9c0d4c6eadf59

Observation 16a66d9f-40b8-4e84-b3dc-93f0d1ca5113 · outbound

This paper cites A Kakeya maximal estimate for regulus strips.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities A Kakeya maximal estimate for regulus strips

Reference 25

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local_arxiv, observed 2026-08-12T21:21:36.047101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T21:21:35.624982Z digest=sha256:dfa2f9879e77290b7a300a205e96974868a5404183e3362d0b075f63e642eb2f

Observation 0e42faf3-ef20-4ee1-9603-02b5876e4328 · outbound

This paper cites Sticky kakeya sets and the sticky kakeya conjecture.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Sticky kakeya sets and the sticky kakeya conjecture

Reference 26

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no resolver link, observed 2026-08-12T21:21:35.629283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.629283Z digest=sha256:47d5c6e0400f7986ebd3a62963ca633219e411d3d95886421ad1c5b9fc4d8c39

Observation 42477af7-9f83-4ac0-b9ca-c172255fe5b3 · outbound

This paper cites The Assouad dimension of Kakeya sets in $\mathbb{R}^3$.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities The Assouad dimension of Kakeya sets in $\mathbb{R}^3$

Reference 27

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no resolver link, observed 2026-08-12T21:21:35.633247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.633247Z digest=sha256:e51c11894656b83cabba9dc07613aabfbd748f36418b9d3b29f75f81941755ac

Pith citing papers

Observation f58eef8c-c893-4359-a9af-4b028ba0599a · inbound

Weighted $L^2$ estimates with applications to $L^p$ problems cites this paper.

Weighted $L^2$ estimates with applications to $L^p$ problems Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 15

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unresolved
no resolver link, observed 2026-08-07T11:26:52.631309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:26:52.631309Z digest=sha256:f36547a612cc83195ed3ee5ca4f2a608ccc539b135596961581dbaa519354bcc

Observation 401233bf-03cf-47fc-8d57-617bcf855368 · inbound

Furstenberg set theorem for transversal families of functions cites this paper.

Furstenberg set theorem for transversal families of functions Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 22

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no resolver link, observed 2026-08-05T16:05:20.444023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:05:20.444023Z digest=sha256:ebd8fa653049cae406593fd50656c25e0e10101b4b820d5cd4701d8f1f952686

Observation 6a2e87db-1c62-4bb9-be1a-e3c5f058e52f · inbound

Bourgain's condition, sticky Kakeya, and new examples cites this paper.

Bourgain's condition, sticky Kakeya, and new examples Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 6

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verified exact
arxiv_id, observed 2026-05-17T22:55:24.838041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-17T22:55:08.053392Z digest=sha256:41e1545cd20443f316198750b93da3b95b6cc3321b86a68e4c5d03293a081c0a

Observation 2ce4a1b7-9595-403c-8561-54aa4e121626 · inbound

A Survey of the Kakeya conjecture, 2000-2025 cites this paper.

A Survey of the Kakeya conjecture, 2000-2025 Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 49

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no resolver link, observed 2026-08-03T17:34:43.185039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:34:43.185039Z digest=sha256:23eb397142cf2aea0fd4124ecb534a972a42b1ba1afe4cf4d201d16ca1dd618a

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

Knapp-type obstructions in multilinear fractal Fourier extension cites this paper.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T03:24:14.143958Z digest=sha256:9f229eb068bb51b5ea861eb6fbf550d554c7289dc07893d46355da4e05ba7492

Observation c1a2bc53-b8b5-4842-b02e-049cdb3d1474 · inbound

The Kakeya conjecture, after Wang and Zahl cites this paper.

The Kakeya conjecture, after Wang and Zahl Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 29

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arxiv_id, observed 2026-05-13T18:08:15.814794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-13T18:04:18.705647Z digest=sha256:1af76c8e43210a471a25584945aba50c704c40d21db0505eb923140afae6b2e9

Observation 33afeb19-3b2c-4a37-8dd6-c75ccc0a8624 · inbound

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay cites this paper.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 13

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local_arxiv, observed 2026-07-10T07:06:52.537472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:10d0d1c7b4290da61871ebdb96b4b5a96d41b589380c42f67079a03bc6689318

Observation 69f3da09-f0d8-4aeb-a15b-6dc7d7a96d37 · inbound

Fourier restriction to hyperbolic rectangles and an application cites this paper.

Fourier restriction to hyperbolic rectangles and an application Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 28

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no resolver link, observed 2026-08-11T05:21:03.774073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:21:03.774073Z digest=sha256:8de9dd3fa9f3f2f5ac297c003becd40a6938cc7ca78f26f4d96f0ba8559141f2