Paper Citation Record · LEDGER

Eigenvalue distribution analysis of multidimensional prolate matrices

As of 19 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2507.10412.

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

pith.paper-citation-record.v1
2507.10412 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:39:42.793475Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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 exact3
verified fuzzy17
unresolved2
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a0970657-f58d-4e39-8dc7-e48889f0adc5 · outbound

This paper cites Discrete prolate spheroidal wave func- tions: Further spectral analysis and some related applications.

Eigenvalue distribution analysis of multidimensional prolate matrices Discrete prolate spheroidal wave func- tions: Further spectral analysis and some related applications

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.293446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cb727b0d-82b9-4d12-8788-11bfcd44dda8 · outbound

This paper cites Time-Frequency Localization Operators: A Geometric Phase Space Approach.

Eigenvalue distribution analysis of multidimensional prolate matrices Time-Frequency Localization Operators: A Geometric Phase Space Approach

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.271721Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9802938e-a6fc-4471-aa21-cbc9477e312b · outbound

This paper cites On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions, II.

Eigenvalue distribution analysis of multidimensional prolate matrices On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions, II

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:39:42.930469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e628e55f-6352-4a73-a752-447ac7e5a520 · outbound

This paper cites The Eigenvalue Distribution of Time-Frequency Localization Operators.

Eigenvalue distribution analysis of multidimensional prolate matrices The Eigenvalue Distribution of Time-Frequency Localization Operators

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T17:39:42.700385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a9903c3-26ba-47b0-8bb4-6346a37ac5e9 · outbound

This paper cites On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions.

Eigenvalue distribution analysis of multidimensional prolate matrices On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.253317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 31b98e72-0808-405d-9fbd-2ee58eee9777 · outbound

This paper cites Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences.

Eigenvalue distribution analysis of multidimensional prolate matrices Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.233300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ddae6553-2657-4f97-8b06-9da0d9d725b8 · outbound

This paper cites The fast Slepian transform.

Eigenvalue distribution analysis of multidimensional prolate matrices The fast Slepian transform

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.213631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5dc466a2-057f-4eab-910e-2089ac12f3c0 · outbound

This paper cites Approximation scheme for essentially bandlimited and space-concentrated functions on a disk.

Eigenvalue distribution analysis of multidimensional prolate matrices Approximation scheme for essentially bandlimited and space-concentrated functions on a disk

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.194645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 36daa642-6df6-4258-8e1e-fa9ee8ddcff5 · outbound

This paper cites Steerable principal components for space-frequency lo- calized images.

Eigenvalue distribution analysis of multidimensional prolate matrices Steerable principal components for space-frequency lo- calized images

Reference 9

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T17:39:43.176879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8eef49c0-953c-4e47-9101-5fdcec232bab · outbound

This paper cites Prolate spheroidal wave functions, Fourier analysis, and uncertainty – II.

Eigenvalue distribution analysis of multidimensional prolate matrices Prolate spheroidal wave functions, Fourier analysis, and uncertainty – II

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.158080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9aded1bd-d056-4350-abef-bf06d2345fa5 · outbound

This paper cites Prolate spheroidal wave functions, Fourier analysis, and uncertainty – III : The dimension of the space of essentially time- and band-limited signals.

Eigenvalue distribution analysis of multidimensional prolate matrices Prolate spheroidal wave functions, Fourier analysis, and uncertainty – III : The dimension of the space of essentially time- and band-limited signals

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.140320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 92d4cc08-ccbb-4a4f-bf6e-2fe795776185 · outbound

This paper cites Eigenvalue distribution of time and frequency limiting.

Eigenvalue distribution analysis of multidimensional prolate matrices Eigenvalue distribution of time and frequency limiting

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.123087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 708d2af5-cd91-40cf-a025-ccb020a84b48 · outbound

This paper cites A representation theory perspective on simultaneous alignment and classification.

Eigenvalue distribution analysis of multidimensional prolate matrices A representation theory perspective on simultaneous alignment and classification

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.106942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7c3df19c-6aa3-4f83-8079-7ce2895ea9f8 · outbound

This paper cites Continuously heterogeneous hyper-objects in cryo-EM and 3-D movies of many temporal dimensions.

Eigenvalue distribution analysis of multidimensional prolate matrices Continuously heterogeneous hyper-objects in cryo-EM and 3-D movies of many temporal dimensions

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:39:42.881107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 36b5326c-48bf-468a-955a-84333a525d67 · outbound

This paper cites Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions.

Eigenvalue distribution analysis of multidimensional prolate matrices Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:39:42.848540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea21873b-9a4d-4dd8-a9c1-aa8aab82b48e · outbound

This paper cites Eigenvalue estimates for Fourier concentration operators on two domains.

Eigenvalue distribution analysis of multidimensional prolate matrices Eigenvalue estimates for Fourier concentration operators on two domains

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.086342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 39a867f2-132b-476e-a9b0-435d1d2d3eef · outbound

This paper cites Prolate spheroidal wave functions, Fourier analysis, and uncertainty – V: The discrete case.

Eigenvalue distribution analysis of multidimensional prolate matrices Prolate spheroidal wave functions, Fourier analysis, and uncertainty – V: The discrete case

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.068482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f86cc0fc-4b92-4ab4-9b9f-c44b5a06d9fb · outbound

This paper cites Prolate spheroidal wave functions, Fourier analysis, and uncertainty. V- The discrete case.

Eigenvalue distribution analysis of multidimensional prolate matrices Prolate spheroidal wave functions, Fourier analysis, and uncertainty. V- The discrete case

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.050324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 90316d39-444d-402f-b4e1-46d8eb5a70b2 · outbound

This paper cites Prolate spheroidal wave functions, Fourier analysis, and uncertainty – I.

Eigenvalue distribution analysis of multidimensional prolate matrices Prolate spheroidal wave functions, Fourier analysis, and uncertainty – I

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:43.031265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e57f32fc-5928-4e62-b1cc-5d25a9f2aa9c · outbound

This paper cites an unresolved cited work.

Eigenvalue distribution analysis of multidimensional prolate matrices Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:39:43.013342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 00e97009-5d4b-4f0a-929c-0ba15bf88d9f · outbound

This paper cites Two dimensional prolate spheroidal wave functions for MRI.

Eigenvalue distribution analysis of multidimensional prolate matrices Two dimensional prolate spheroidal wave functions for MRI

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:42.993316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation da1689cd-4b91-42fe-8643-816fb895cc74 · outbound

This paper cites Approximating sampled sinusoids and multiband signals using multiband modulated DPSS dictionaries.

Eigenvalue distribution analysis of multidimensional prolate matrices Approximating sampled sinusoids and multiband signals using multiband modulated DPSS dictionaries

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:42.970079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation eae33280-6682-4c72-8ea4-e4edde0ebccd · outbound

This paper cites Approximating sampled sinusoids and multiband signals using multiband modulated DPSS dictionaries.

Eigenvalue distribution analysis of multidimensional prolate matrices Approximating sampled sinusoids and multiband signals using multiband modulated DPSS dictionaries

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:39:42.947710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

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