Pith. sign in

Paper Citation Record · LEDGER

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

As of 17 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 2026-08-17T06:30:58.91139+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=sha256:770cefdd927479f9e61bb8b51c1afc263681ed19beaa2188923d3d0eedb69850

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:50.298796Z digest=sha256:097d4fbc5eab4bd2212dcf8ce11a3cd3d1050a34c941f4e548606a98a9f27bc3

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:50.377519Z digest=sha256:5ab7d8610555541082db0a4fb469b4d675bf76648f6bba657e68bc7d45a5bfec

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:50.428744Z digest=sha256:dbd6fb0ca8f6f6819cfab54fb80b99b02e5b8cec06aac48374c537b87ff362d2

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:50.475388Z digest=sha256:f140737cf104fb37be3a3fedb9ea81b930145707f9562131373778618c9761e7

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

Resolution
unresolved
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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:50.520493Z digest=sha256:84abc1e2d2654f4e412becf74f6d7096a970557726ec8ba845f3246f6bdf04a2

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:50.595043Z digest=sha256:d889039acf0bdeb0f01e469d2c381389779a68232a90376583b7d373bea546ad

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:50.659212Z digest=sha256:c162f77b0ebc453fafa6a7cc0f32a981ce4457ba9efbd8c33085639ffceb8e5c

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=sha256:1ba85b1cd2b62ae58e07bb129c68f9591c5d9f6c36112c06ddea338239dc1ff2

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=sha256:1a9b75ad7d9e3895e36a23ee96381a167790a5441c967cb519930de5430d1d92

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
unresolved
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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:50.857342Z digest=sha256:13e776fef1f55667efc9ff5c85e191523be550e58183da1d4aba2bfaec71087b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:50.937328Z digest=sha256:68921fdf03115f9cb7a8792b96dbebefb3f79634b24936fa62154916b9979db9

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.017059Z digest=sha256:22398ae09e1d35fc7f7e7384b855724e8e085e5f63644c48cef58d4278c95a5a

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.078755Z digest=sha256:eb55f529a8cb7d6cc4b50da2ecf29e0b88cea32f053ddcbe478d2aed0871d2e8

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.163724Z digest=sha256:e733badabbfb9fcf3b6d3d770cf945d330c1f69e2b0bc0fc9ef67fde753e09ea

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.244873Z digest=sha256:cc2085cb4b39ba9b95d07aafb11deb4c331ebc726794d675c6e8b28e1a4ddb4b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.347187Z digest=sha256:1eecc8d574368e36cb0930739defba09523de9be090a6e25d6bf4d9e47328e6c

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.423268Z digest=sha256:5e41c572659b5a53a77c7e6a72de6a8c80af8464f9349aeff52750b012e91ff2

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
raw_fallback, observed 2026-08-06T19:44:53.787156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.494615Z digest=sha256:7a4392f800d6c8d57abc9eb6a364e2e048d86d5c0978fcb20e92950ca9ccdd98

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.600645Z digest=sha256:6589f2d8bf617f954a690eddf82922b633b723713f37f3d37642d58557b826a3

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.636412Z digest=sha256:d598b0ea32b4495cfb3da4f3585daaaa118c0b8714074b0b4d26403d821c3f42

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
unresolved
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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.730690Z digest=sha256:1899a40b89dbfc716dfc6c9ef64c67b31780c74e52064b05c6b9971adc63eba5

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
unresolved
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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.863541Z digest=sha256:a8963a7ad605a0002756fa71c86316b64ae2724b82a3af1a75a4618116a9a84b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:51.907058Z digest=sha256:54abbc7b5debca0492dc91075f55fa9e0e2a3a2eeea9c69cf5d52845ca68ab02

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:52.010346Z digest=sha256:35a949870c211623c9c954e50938ad0ca733a5c1d8170c50ed91b551aef49895

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T19:44:52.086425Z digest=sha256:821e43ea0386157b9d45aacc08bc1457f8020ecbf9f864c797793e28861608c6

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=sha256:01fc7c9f0d0cc121c1b1f447f28057f0f0a6fbab2753707d780a7b238a9759ad

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-29T23:38:05.075004Z digest=sha256:50d30e9f52837635d5e27667be3020c8903b24abd4b3bb15f635f39726c74e68

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T11:13:40.430830Z digest=sha256:ed098f6599018dfdf01c7c4ecdb1ac3d901c526d7ef8d61da6d9ff32948bb3f8

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-27T22:48:58.273202Z digest=sha256:8be91c3fa5b5c6368b6131752f52b23ea6e049df093132c01462d1d518a9df50