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Paper Citation Record · LEDGER

On extremal problems of Delsarte type for positive definite functions on LCA groups

As of 22 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2412.00482.

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

pith.paper-citation-record.v1
2412.00482 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:29:49.159899Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 103f134d-230e-4cb3-9361-bd60c9ffdb84 · outbound

This paper cites an unresolved cited work.

On extremal problems of Delsarte type for positive definite functions on LCA groups Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:29:49.477011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T05:29:49.070826Z digest=sha256:2458afdf5e1876124edd373123930c357ca34af051014ec5cac537d854108cea

Observation a0e37242-6651-4cfb-92a9-e3410353df16 · outbound

This paper cites an unresolved cited work.

On extremal problems of Delsarte type for positive definite functions on LCA groups Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:29:49.461658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T05:29:49.076806Z digest=sha256:5b02ee53af6168e8efbbca1ab895bbabbe9424ff8a53b2b8d7a8acf862ceb3d8

Observation a698fd42-aa30-4256-af19-4180eeae6dff · outbound

This paper cites Functional Analysis, Sobolev Spaces, and Pa rtial Differential Equations.

On extremal problems of Delsarte type for positive definite functions on LCA groups Functional Analysis, Sobolev Spaces, and Pa rtial Differential Equations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:29:49.446178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T05:29:49.082394Z digest=sha256:940f0965db72f1dc94557864a558f5b1e72b95c7d1e09fa7a83391c82c3a5668

Observation 472728a3-b835-43f1-ab1a-674da39c2a04 · outbound

This paper cites Carathéodory, Über den Variabilitätsbereich der Fourier’schen Konstanten v on positiven harmonischen Funktionen , Rendiconti del Circolo Matematico di Palermo, 32 (1911), 193– 217.

On extremal problems of Delsarte type for positive definite functions on LCA groups Carathéodory, Über den Variabilitätsbereich der Fourier’schen Konstanten v on positiven harmonischen Funktionen , Rendiconti del Circolo Matematico di Palermo, 32 (1911), 193– 217

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:29:49.431247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T05:29:49.087700Z digest=sha256:a5275422283ae119108fdbe0c961d7a7133f36d31ee3008756ceed9665ac1b92

Observation 3c86c390-4257-40d5-948c-7a99c860b848 · outbound

This paper cites Three-point bounds for sphere packing.

On extremal problems of Delsarte type for positive definite functions on LCA groups Three-point bounds for sphere packing

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T05:29:49.092985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:29:49.092985Z digest=sha256:dc2da788868007a880792bd4f93ecc28cb362d7a84c7b2a21fcc7d081521e7c9

Observation ae7d1530-f7ee-4d63-9f53-09f92a5bafb7 · outbound

This paper cites Principles of Harmonic Analy sis.

On extremal problems of Delsarte type for positive definite functions on LCA groups Principles of Harmonic Analy sis

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:29:49.416089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T05:29:49.100267Z digest=sha256:9d5d1d9188db8ee03a5aa8a88c5543d2529c6d6647d150b5804edf183abcd711

Observation 0701f41d-7c6c-4f5c-8447-db11bd6d4e96 · outbound

This paper cites Domar, An extremal problem for positive definite functions , J.

On extremal problems of Delsarte type for positive definite functions on LCA groups Domar, An extremal problem for positive definite functions , J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:29:49.400821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T05:29:49.105564Z digest=sha256:562076cf940f5e162d59aedfbfaeb67364ced7108602134d43de327be4a8b410

Observation 862053b4-2943-442d-a137-04ec1c670d1c · outbound

This paper cites A Course in Abstract Harmonic Analysis.

On extremal problems of Delsarte type for positive definite functions on LCA groups A Course in Abstract Harmonic Analysis

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:29:49.382233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T05:29:49.110931Z digest=sha256:c531b3c3aa4f39c4bc19926ee6b7c7ce1b782447a31b193cbe8f6e25941dc389

Observation 2129538d-d435-4272-bd0f-700733e9dfcb · outbound

This paper cites Fejér, Über trigonometrische Polynome , J.

On extremal problems of Delsarte type for positive definite functions on LCA groups Fejér, Über trigonometrische Polynome , J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:29:49.366443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T05:29:49.115603Z digest=sha256:13923f626dc7b2b8d1366b2fb1efd3ec5b6918339d8415dff62a083a556c6e05

Observation fb7f01e1-8e03-440f-b1ad-44940ee92388 · outbound

This paper cites Gaál and Zs.

On extremal problems of Delsarte type for positive definite functions on LCA groups Gaál and Zs

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:29:49.350198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 1400d0f2-48fc-47a9-8302-ad21576a83b4 · outbound

This paper cites an unresolved cited work.

On extremal problems of Delsarte type for positive definite functions on LCA groups Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:29:49.334004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 03197e4b-0f44-4ea5-b0c8-042a441b5680 · outbound

This paper cites an unresolved cited work.

On extremal problems of Delsarte type for positive definite functions on LCA groups Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:29:49.317650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 29cb764a-4ad2-4c81-ac23-738e720b735c · outbound

This paper cites an unresolved cited work.

On extremal problems of Delsarte type for positive definite functions on LCA groups Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:29:49.300421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0dba95a1-cdf5-4612-8991-c63d2b242d71 · outbound

This paper cites an unresolved cited work.

On extremal problems of Delsarte type for positive definite functions on LCA groups Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:29:49.284287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation eeab4b3f-eb8d-4b73-a983-cb4452c6ac62 · outbound

This paper cites an unresolved cited work.

On extremal problems of Delsarte type for positive definite functions on LCA groups Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:29:49.267537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T05:29:49.145331Z digest=sha256:04ecd7f36acd0f4162f7cc196fc6e9ac7ce3304890b1c483bf844d4feb8417cd

Observation d670325f-5317-46ee-b13b-1b061dfc4455 · outbound

This paper cites an unresolved cited work.

On extremal problems of Delsarte type for positive definite functions on LCA groups Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:29:49.250120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 79d87d43-3027-433e-b4c6-6acdc74cbf37 · outbound

This paper cites Positive definite and definitizable functi ons.

On extremal problems of Delsarte type for positive definite functions on LCA groups Positive definite and definitizable functi ons

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:29:49.234036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 1aefecad-c430-41a6-b1fc-e581481705ab · outbound

This paper cites an unresolved cited work.

On extremal problems of Delsarte type for positive definite functions on LCA groups Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:29:49.216517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Pith citing papers

No inbound Pith citation observations are available.