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Paper Citation Record · LEDGER

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series

As of 13 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 3 inbound Pith citation observations for arXiv:2507.05124.

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

pith.paper-citation-record.v1
2507.05124 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:44:52.147330Z

measured 30 of 30 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T11:13:40.430830Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T16:27:08.451420Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact2
  • verified fuzzy10
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d91318b6-bbaf-4677-a2e3-c782f77ad3d7 · outbound

This paper cites Alexis, L.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Alexis, L

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T19:44:50.237955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:44:50.237955Z digest=sha256:bb2207a7398e155370be507795dda4f49e4d47ab84a007104a6f494c9c3d6cd8

Observation fb179a96-59d7-462c-8160-13f90e9e7894 · outbound

This paper cites Quantum signal processing and nonlinear Fourier analysis.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Quantum signal processing and nonlinear Fourier analysis

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:44:52.534339Z

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.

source=arxiv_source observed=2026-08-06T19:44:50.298796Z digest=sha256:2885a97012b7d14f26b22da897c340d269144d62abca4660e116634fcddc37c6

Observation f58f8d57-fe62-48eb-b674-5ded81f9b28b · outbound

This paper cites 12, 109002.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series 12, 109002

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:44:56.045536Z

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.

source=arxiv_source observed=2026-08-06T19:44:50.377519Z digest=sha256:fa108ff439dc65e194ecaca59930ad1df182339f78aff7d081a520e872387eba

Observation 2ace02a3-ff0b-4299-9681-62c1b3e14a35 · outbound

This paper cites Bessonov, Entropy function and orthogonal polynomials, Journal of Approximation Theory 272 (2021), 105650.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Bessonov, Entropy function and orthogonal polynomials, Journal of Approximation Theory 272 (2021), 105650

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:44:55.892625Z

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.

source=arxiv_source observed=2026-08-06T19:44:50.428744Z digest=sha256:5b0b90841bfa230feb659b9203c6c7b71e9751db05502116b3c15bdc509f0eef

Observation 30a49a98-1c57-4cdf-8684-21ec9e80225b · outbound

This paper cites 2, 409--425.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series 2, 409--425

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:44:55.716940Z

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.

source=arxiv_source observed=2026-08-06T19:44:50.475388Z digest=sha256:7493f0124f3f92e28762854b7e9651b1591c8cf0beb1825e5716a6c5f31045a2

Observation 6ce50adf-1e9e-49aa-992d-4a49f33ebf70 · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 6

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raw_fallback, observed 2026-08-06T19:44:55.557583Z

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.

source=arxiv_source observed=2026-08-06T19:44:50.520493Z digest=sha256:c611a26eea885c7ebd3aa7f1a449ea9b2541aa7de712663748c2da85c027a8ed

Observation 875c252d-f625-4da5-b0c7-5cf39337e64b · outbound

This paper cites Denisov, Continuous analogs of polynomials orthogonal on the unit circle.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Denisov, Continuous analogs of polynomials orthogonal on the unit circle

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:44:55.410531Z

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.

source=arxiv_source observed=2026-08-06T19:44:50.595043Z digest=sha256:c92666f7d7b55214af3de86d8d0f463070a611debd27558ec29cd0d4dd22953b

Observation 58c78ad1-9d49-44c2-8756-f0f8bfad02fd · outbound

This paper cites Infinite quantum signal processing.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Infinite quantum signal processing

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:44:52.372477Z

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.

source=arxiv_source observed=2026-08-06T19:44:50.659212Z digest=sha256:73201b88fbfad2c742ae042768c2a77a9c7b0459e0855935a2df53dd94bc1df5

Observation 8f2d0c29-fbae-4d35-8132-81d4356d4d22 · outbound

This paper cites An approach to universality using Weyl m-functions.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series An approach to universality using Weyl m-functions

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T19:44:50.732535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:44:50.732535Z digest=sha256:27cc94064a01f8619b0b357ae813656a8acab3f9e55f6c5bd58d5a00921560bc

Observation a5dffac3-5b39-417a-8688-d11ded4d02d0 · outbound

This paper cites Necessary and sufficient conditions for universality limits.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Necessary and sufficient conditions for universality limits

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T19:44:50.794155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:44:50.794155Z digest=sha256:bb7463889b03991a260773b76227083a636a372204f62ebe5884ec53a8f08930

Observation fccb31e9-f19d-4c95-82bd-1c71398ecde1 · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 11

Resolution
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raw_fallback, observed 2026-08-06T19:44:55.243468Z

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.

source=arxiv_source observed=2026-08-06T19:44:50.857342Z digest=sha256:a1d9b0529bb72d4ee6756e8789d7fffae430409e242a4cb6876359cd5c98d990

Observation d5cbb649-5d00-46b5-aeff-5a1142838110 · outbound

This paper cites 3, 1179--1188.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series 3, 1179--1188

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:44:55.064049Z

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.

source=arxiv_source observed=2026-08-06T19:44:50.937328Z digest=sha256:51f8820230931a78f530583e9b2731061fa7ce4fa0eec92916ad838588fa5bc2

Observation d908ab5e-35d0-4184-9a4b-3d4a17ec9034 · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:44:54.875124Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.017059Z digest=sha256:90c5451fb228cf5ac337250c48a8ed3c58514803490390e08f15bdc07ebbf947

Observation 3c96ce23-b1ef-43ed-9f11-d6485d2e33bc · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:44:54.672486Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.078755Z digest=sha256:64afd4be34401c08bc67829fc182ad43e19d58a3da043f469a705d4845336369

Observation 82d5018d-7568-49dd-a834-e40b5acf3c62 · outbound

This paper cites 1, 010501.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series 1, 010501

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:44:54.505600Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.163724Z digest=sha256:e12cbce045d98d917e6c72a2e846e11a835106a508d97fb09dec02dcfa54acd7

Observation d33e1a8a-2388-4b0b-9190-f5048f18f276 · outbound

This paper cites Second Series 134 (1991), 433--453.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Second Series 134 (1991), 433--453

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:44:54.294829Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.244873Z digest=sha256:5f87ad65a2cc704de7c26eb2a22649f34626d39186bc3bfe4e9207ae2b40ef4f

Observation b55cd750-347c-436b-9a35-99fd553b6c34 · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:44:54.087008Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.347187Z digest=sha256:4ddb5a69f208b26cd8b6e1211e6488dd8e50658a31883fc78532a37773bc7607

Observation 440f99d5-f380-434c-9020-ce8476384f49 · outbound

This paper cites 1, 219--246.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series 1, 219--246

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:44:53.944469Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.423268Z digest=sha256:33c6949abd1d07d98543b9a712667a4b7eb6eeb145b28b1c6e8f96d2d6ee72a1

Observation 4eee8ce0-bab6-4e0e-be77-f2907a6177e6 · outbound

This paper cites 2, 421--464.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series 2, 421--464

Reference 19

Resolution
verified fuzzy
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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.

source=arxiv_source observed=2026-08-06T19:44:51.494615Z digest=sha256:071e347efd5761d4e8e401f32e3a2908772c0e7f6ff67e3a29e21ed9b9ca796f

Observation a850729f-3254-4ff9-9dce-a64db97ed9e7 · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:44:53.648132Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.600645Z digest=sha256:e29d05f09178d7483bd6a4c7f8881b10179ee23554f128319675d8a845bacf96

Observation ca023d2c-dcc1-4f95-bce2-bebaeaf829ee · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:44:53.488292Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.636412Z digest=sha256:960fe8152dbb8c659d89f10d53baedeaf7162e104afe8e1d12da262e87980269

Observation d17e0fa4-2a8c-46c0-9aaa-2c957b2c1a75 · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 22

Resolution
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raw_fallback, observed 2026-08-06T19:44:53.357096Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.730690Z digest=sha256:baf4b93bbdfc1066d1bcfb1dc644ffececde8f1a0fb3eaa94ffedacf4639146a

Observation 50c2223c-7948-4954-ba37-d9b784bc31a1 · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 24

Resolution
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raw_fallback, observed 2026-08-06T19:44:53.182035Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.863541Z digest=sha256:90c5d5c936280bc28376d8edb8bfe6ab2ceabf38c23e285786131941a8b18d98

Observation 544e4cdf-1e09-4561-8a72-e08bae3455f6 · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:44:53.052711Z

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.

source=arxiv_source observed=2026-08-06T19:44:51.907058Z digest=sha256:5ea35260196efc1e02bab1924335ba7370d06ddf9b971829a407a057e4da1194

Observation 89063389-f679-44b8-a6f6-c67ca0dd4231 · outbound

This paper cites an unresolved cited work.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:44:52.889266Z

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.

source=arxiv_source observed=2026-08-06T19:44:52.010346Z digest=sha256:a8659d27098797cb5032a9937e3549989740cb505b837e576366b27ef1250ed7

Observation a105a607-02bf-463c-91ce-3218a7a41e7f · outbound

This paper cites thesis, University of California Los Angeles, 2005.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series thesis, University of California Los Angeles, 2005

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:44:52.761542Z

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.

source=arxiv_source observed=2026-08-06T19:44:52.086425Z digest=sha256:dd17590dc889517dd48974cd0072f796cbf58a32fb4d9748fe5884a70570eb44

Observation 4c0420ea-99ee-4865-8b84-d8eb36a3fd02 · outbound

This paper cites Nonlinear Fourier Analysis.

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series Nonlinear Fourier Analysis

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-06T19:44:52.147330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:44:52.147330Z digest=sha256:cc9f9134aee19bc679091edabba0d55a8db5d605001d71a7bd9a75524b33d044

Pith citing papers

Observation 5e8d81ec-6041-4a10-bbf0-c6d63f35da4a · inbound

Pointwise behavior of SU(1,1) nonlinear Fourier transform cites this paper.

Pointwise behavior of SU(1,1) nonlinear Fourier transform One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-06-29T23:44:02.974062Z

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.

source=pdf_text observed=2026-06-29T23:38:05.075004Z digest=sha256:cbc642d85a93da5f556f9e7e9b983270e1ee0f3ba1a79445e33b3e8eedd07ba2

Observation 4f243f11-03c2-42b3-855b-0b483ae779be · inbound

Pointwise behavior of SU(1,1) nonlinear Fourier transform cites this paper.

Pointwise behavior of SU(1,1) nonlinear Fourier transform One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-06-30T11:14:37.455235Z

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.

source=pdf_text observed=2026-06-30T11:13:40.430830Z digest=sha256:51403b41ce9c7649ffd21d362109dc72938e4526e9ae42337ba5e0e5b4027555

Observation d07540b8-3026-43bc-a003-d8105afdef31 · inbound

Convergence of sparse square-summable NLFT cites this paper.

Convergence of sparse square-summable NLFT One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-02T16:27:08.453085Z

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.

source=pdf_text observed=2026-06-27T22:48:58.273202Z digest=sha256:554d68b1e5a11b3a63c7230cde00a195044daddfb398abeac3bddecb6df0b434