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Paper Citation Record · LEDGER

Inner and characteristic functions in polydiscs

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

source=pdf_text observed=2026-08-09T18:05:25.884264Z digest=sha256:24a94dd52f15595e2de152ea0d6bab67e45fc772f0007be6de6be16d16c60c49

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

source=pdf_text observed=2026-08-09T18:05:25.889563Z digest=sha256:98518792648b4c8a273b4a02e20c7ef1e7828ed6d9f325802d01510ab7f3271e

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

source=pdf_text observed=2026-08-09T18:05:25.894397Z digest=sha256:299c8323d1bf1de9a86c7363f1b9f4bb447e22a3b674cbda05fb9969bfb163ba

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

source=pdf_text observed=2026-08-09T18:05:25.899134Z digest=sha256:d27ccac029e50602403052c14e0f386edf5fdcf71d3171403922a98dccd380ad

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

source=pdf_text observed=2026-08-09T18:05:25.904353Z digest=sha256:f01bacbd4f8059294b93d129fb9ef302851c9257b7c3c386e729f72fdea372fd

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

source=pdf_text observed=2026-08-09T18:05:25.909353Z digest=sha256:69f421d0384dc000c449de0dbec0ce9854be8934e5c8f3c6042b00f42a991d9d

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

source=pdf_text observed=2026-08-09T18:05:25.914101Z digest=sha256:fa6099518ccb61a8a600522fe94f951987dff1cdad6fefe3ad0e86f28222d038

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

source=pdf_text observed=2026-08-09T18:05:25.919238Z digest=sha256:91009066ea2560ace56a7f9565a9d36ebdbf918e1da60ece8f1bb2315306d55d

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

source=pdf_text observed=2026-08-09T18:05:25.924048Z digest=sha256:5ef88c28730a844f2523b8c4803c1ca99857f31d47eeb3a29e85fe63efeaaf11

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.

source=pdf_text observed=2026-08-09T18:05:25.928672Z digest=sha256:1599fd442f00592cc52ead1d76c3f6aae395302abc03f594e02e7f0d617fa5e1

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

source=pdf_text observed=2026-08-09T18:05:25.933727Z digest=sha256:3b06da1bad0b7f36d9244a229aad8cec3dcf3312536a2b59152b541548798e2b

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

source=pdf_text observed=2026-08-09T18:05:25.938126Z digest=sha256:2a386fb085e848b33725e71cd03ad97b98862c8448c7f28273f9cd3049541b1b

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

source=pdf_text observed=2026-08-09T18:05:25.942881Z digest=sha256:db45f452446f2f32700e54048256512d0d65e31d3994e3e12adbec170cba26e6

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

source=pdf_text observed=2026-08-09T18:05:25.947414Z digest=sha256:72e1e406cd3b78cd2262d822fd1acedf9c377d721066ff62170b8349e7f0433a

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

source=pdf_text observed=2026-08-09T18:05:25.951884Z digest=sha256:b89178a4216fc6f7f20c94ce930dbd126777a327dbbe77b2a994258ba4501f11

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

source=pdf_text observed=2026-08-09T18:05:25.956344Z digest=sha256:34b1c312ba691f6fc3a205cdd1febebcd1bd568a821a28ad6d937812f33128b6

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

source=pdf_text observed=2026-08-09T18:05:25.960626Z digest=sha256:d3a7547fa63ca882addfd8b7e601164e0d98d85c49b5b39070760531cf8cfc3b

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

source=pdf_text observed=2026-08-09T18:05:25.965350Z digest=sha256:46cb53a6837a7141e961e0b1930ca301869ac81848d63e114b6002ebc72b751e

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

source=pdf_text observed=2026-08-09T18:05:25.970343Z digest=sha256:4efd6589898a7455b01a7b97b3aba44aed11332da9761dd365bd6504ee1397fc

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

source=pdf_text observed=2026-08-09T18:05:25.974827Z digest=sha256:08bf3e060e59a88add7a86a697daaf236312350f4bbc9a76d09826a14e873230

Pith citing papers

No inbound Pith citation observations are available.