Paper Citation Record · LEDGER

Inner and characteristic functions in polydiscs

As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2502.00727.

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

pith.paper-citation-record.v1
2502.00727 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T18:05:25.974827Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

20 of 20 outbound references displayed

verified exact0
verified fuzzy17
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 01f8a2d8-4c0d-4e97-901e-022e850904cb · outbound

This paper cites Agler, On the representation of certain holomorphic functions deﬁ ned on a polydisk , in ”Topics in Operator Theory: Ernst D.

Inner and characteristic functions in polydiscs Agler, On the representation of certain holomorphic functions deﬁ ned on a polydisk , in ”Topics in Operator Theory: Ernst D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.302050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b628faf8-6e4a-4cba-9a13-86a6cb6926c7 · outbound

This paper cites Agler, Some interpolation theorems of Nevanlinna-Pick type , preprint.

Inner and characteristic functions in polydiscs Agler, Some interpolation theorems of Nevanlinna-Pick type , preprint

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.287760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 25c87ec3-eafd-4e4b-a21c-2ea051696682 · outbound

This paper cites Ahern and D.

Inner and characteristic functions in polydiscs Ahern and D

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.272716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3c3e7d76-69eb-4559-9174-0615ee8ecf27 · outbound

This paper cites Athavale, On joint hyponormality of operators , Proc.

Inner and characteristic functions in polydiscs Athavale, On joint hyponormality of operators , Proc

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.257432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 90b690f1-9cb0-401c-a072-ff1d8ba291ca · outbound

This paper cites an unresolved cited work.

Inner and characteristic functions in polydiscs Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-09T18:05:26.242364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation be968822-1202-436f-b62c-010bb6cd2bce · outbound

This paper cites Barik, B.

Inner and characteristic functions in polydiscs Barik, B

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.227834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2c6547ae-f43c-4b58-a3ef-02c1437d094c · outbound

This paper cites Bhattacharjee, B.

Inner and characteristic functions in polydiscs Bhattacharjee, B

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.212366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d923de90-ec2f-4b39-aa37-48f056b702ef · outbound

This paper cites Curto and W.

Inner and characteristic functions in polydiscs Curto and W

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.197459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 14644fa6-af72-49a1-856e-a482637d15c0 · outbound

This paper cites an unresolved cited work.

Inner and characteristic functions in polydiscs Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-09T18:05:26.181748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0fde4803-fcb3-427a-96ed-c610d3f09b5d · outbound

This paper cites Commutant lifting, interpolation, and perturbations on the polydisc.

Inner and characteristic functions in polydiscs Commutant lifting, interpolation, and perturbations on the polydisc

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-09T18:05:25.928672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7a9ad24-ba1b-4b68-8f8e-017e325081a3 · outbound

This paper cites Grinshpan, D.

Inner and characteristic functions in polydiscs Grinshpan, D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.166261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4dfce295-53af-4154-a87f-97461b2d2ed2 · outbound

This paper cites Mandrekar, The validity of Beurling theorems in polydiscs , Proc.

Inner and characteristic functions in polydiscs Mandrekar, The validity of Beurling theorems in polydiscs , Proc

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.151836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 889b02ec-200c-4588-b149-ded9333b3703 · outbound

This paper cites M¨ uller and F.-H.

Inner and characteristic functions in polydiscs M¨ uller and F.-H

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.136022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 24d7da4a-5298-4925-ac2a-ecbcfc049b69 · outbound

This paper cites Sz.-Nagy and C.

Inner and characteristic functions in polydiscs Sz.-Nagy and C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.121507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ba6726d3-aa86-4a76-b4fe-e723b98cbec7 · outbound

This paper cites Nikolski, Treatise on the shift operator , Berlin: Springer, 1986.

Inner and characteristic functions in polydiscs Nikolski, Treatise on the shift operator , Berlin: Springer, 1986

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.106943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0c358cb4-e330-40b6-8aa6-7c18e91c0462 · outbound

This paper cites Popescu, Berezin transforms on noncommutative polydomains , Trans.

Inner and characteristic functions in polydiscs Popescu, Berezin transforms on noncommutative polydomains , Trans

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.091211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1935468c-8780-40da-be88-42440b177b6d · outbound

This paper cites Rudin, Function theory in polydiscs , W.

Inner and characteristic functions in polydiscs Rudin, Function theory in polydiscs , W

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.077222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 29e5557e-d4ed-4be5-9d16-16407bc54f01 · outbound

This paper cites Sarkar, Wold decomposition for doubly commuting isometries , Linear Algebra Appl.

Inner and characteristic functions in polydiscs Sarkar, Wold decomposition for doubly commuting isometries , Linear Algebra Appl

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.062619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 58fa15a3-2fa7-49e4-952d-38eb3e0be667 · outbound

This paper cites S/suppress loci´ nski,On Wold type decompositions of a pair of commuting isometrie s, Ann.

Inner and characteristic functions in polydiscs S/suppress loci´ nski,On Wold type decompositions of a pair of commuting isometrie s, Ann

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.047353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 477e45c3-a1b9-47a7-be69-a78bf4871ce0 · outbound

This paper cites Timotin, Regular dilations and models for multicontractions , Indiana Univ.

Inner and characteristic functions in polydiscs Timotin, Regular dilations and models for multicontractions , Indiana Univ

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T18:05:26.030809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.