Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:00:52.850924Z
Paper Citation Record · LEDGER
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions
As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2608.03574.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:56:24.156663Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T12:56:24.310978Z
Reference resolution
28 of 28 outbound references displayed
- verified exact0
- verified fuzzy12
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2ddacbc3-431f-45b1-a691-40e1766a9d04 · outbound
This paper cites an unresolved cited work.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:00:53.378975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 855718f3-9e66-4dac-a762-34be32efaabf · outbound
This paper cites Agler and N.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Agler and N
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.714265Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d55c6c2f-5d58-4d03-879e-711a613a5512 · outbound
This paper cites Agler and N.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Agler and N
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.352619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b84dafaa-cb91-4ca6-bacf-49072cf69aeb · outbound
This paper cites Agler, J.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Agler, J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.336885Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bf84485f-b24f-4440-9975-ce6c14baf0c8 · outbound
This paper cites Agler, J.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Agler, J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.320545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6dea6180-bda5-47ee-9141-8a227f1ffd83 · outbound
This paper cites Agler, Zinaida A.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Agler, Zinaida A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.303485Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bb404845-a108-4a29-a1b2-2394743e5a16 · outbound
This paper cites Ando,On a Pair of Commutative Contractions, Acta Sci.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Ando,On a Pair of Commutative Contractions, Acta Sci
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.742167Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5efe392d-8cbb-4004-a410-163540453c37 · outbound
This paper cites an unresolved cited work.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:00:53.272197Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c627ad80-3407-4bb9-a470-97eb4a7a1c4e · outbound
This paper cites Princeton University Press, Princeton, NJ (2007).
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Princeton University Press, Princeton, NJ (2007)
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.254268Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7ec455c8-f1e9-464f-b672-053c078c79b6 · outbound
This paper cites Biswas, S.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Biswas, S
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.231709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8c84031c-badc-4cfc-8dda-503ddf029347 · outbound
This paper cites Contractive Hilbert modules on quotient domains.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Contractive Hilbert modules on quotient domains
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.762558Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c5fbe79-0f95-42a4-8b31-cb64ee509a20 · outbound
This paper cites Bhattacharyya,The Tetrablock as a Spectral Set,Indiana Univ.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Bhattacharyya,The Tetrablock as a Spectral Set,Indiana Univ
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.767904Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 784d066f-a4c5-4a3b-b122-dac082d544e7 · outbound
This paper cites Bhattacharyya, S.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Bhattacharyya, S
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.196605Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cb1f3047-62c3-4110-9da1-fd576b4afdda · outbound
This paper cites Costara,On the spectral Nevanlinna-Pick problem,Studia Math.,170(2005), 23–55.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Costara,On the spectral Nevanlinna-Pick problem,Studia Math.,170(2005), 23–55
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.778056Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4559b538-9b5f-4bce-b656-14b271d2bc14 · outbound
This paper cites an unresolved cited work.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Unresolved cited work
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.782861Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 79d8d5f4-084c-4197-8c6f-3c8403cc264d · outbound
This paper cites Brown-Halmos type Theorems on the proper images of bounded symmetric domains.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Brown-Halmos type Theorems on the proper images of bounded symmetric domains
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.787677Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed2cc4f4-e3fd-416a-a1ca-b483af4e2b28 · outbound
This paper cites Jindal, P.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Jindal, P
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.140205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ff127df5-1e69-4dbc-9c7d-51fbaed3a770 · outbound
This paper cites Rational $\mathbf{\Theta_n}$-Inner Function and its Application in Interpolation Problem.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Rational $\mathbf{\Theta_n}$-Inner Function and its Application in Interpolation Problem
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.797408Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2170946a-1696-4da3-a530-af010f5d5aab · outbound
This paper cites Mandal, A.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Mandal, A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.116020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 210f9a43-ff1f-4a42-8c1c-1bc0dcdd8b6b · outbound
This paper cites Sz.-Nagy, C.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Sz.-Nagy, C
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.093169Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b5df9a69-a09b-4159-9cce-9d09620ffbde · outbound
This paper cites an unresolved cited work.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:00:53.065665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0701eb80-928a-45a7-a039-c7bc9f00c282 · outbound
This paper cites Pal,Operators Associated with the Pentablock and Their Relations with Biball and Symmetrized Bidisc, Annales Fennici Mathematici,51(2026) 287–324.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Pal,Operators Associated with the Pentablock and Their Relations with Biball and Symmetrized Bidisc, Annales Fennici Mathematici,51(2026) 287–324
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.046287Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 08c766ba-0ec8-45e4-8d4c-f0cd6fa0cebb · outbound
This paper cites Pal,Canonical Decomposition of Operators Associated with the Symmetrized Polydisc, Complex Analysis and Operator Theory, (2018) 12:931-943.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Pal,Canonical Decomposition of Operators Associated with the Symmetrized Polydisc, Complex Analysis and Operator Theory, (2018) 12:931-943
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:00:53.027105Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b145e9a1-a33a-4194-a302-b12452b3a348 · outbound
This paper cites Pal,The Fundamental Operator Tuples Associated with the Symmetrized Polydisc, New York J.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Pal,The Fundamental Operator Tuples Associated with the Symmetrized Polydisc, New York J
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.831504Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f0bab08-fefb-4d3a-9a84-f1a8c29d52fd · outbound
This paper cites Pal,OnΓ n-Contractions and Their Conditional Dilations, Journal of Mathematical Analysis and Application, 510(2022) 1-36.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Pal,OnΓ n-Contractions and Their Conditional Dilations, Journal of Mathematical Analysis and Application, 510(2022) 1-36
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.836131Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1b51927-873e-40fa-ae2a-125c7424a56c · outbound
This paper cites Paulsen,Completely Bounded Maps and Operator Algebras,Cambridge Univ.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Paulsen,Completely Bounded Maps and Operator Algebras,Cambridge Univ
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:00:52.840697Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72e818c5-9f94-44d2-98b9-af7db9695378 · outbound
This paper cites an unresolved cited work.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:00:52.962320Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b6c65355-4dfe-4553-83f6-901d0789f149 · outbound
This paper cites an unresolved cited work.
On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:00:52.944923Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
Observation ca38f786-6319-4411-abf2-da6b0a8ca737 · inbound
Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ cites this paper.
Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:56:24.317013Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.