Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:41:23.890095Z
Paper Citation Record · LEDGER
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk
As of 17 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:1908.03113.
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 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
36 of 36 outbound references displayed
- verified exact1
- verified fuzzy22
- unresolved13
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8f3483bf-db8e-4f8e-8f5d-e9aa03ad7644 · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.319298Z
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.
Observation 755a2d11-d332-4682-9d4c-8c0d7c849c1e · outbound
This paper cites Aleman, J.-F.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Aleman, J.-F
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.309884Z
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.
Observation 4d533a8a-1f04-41c5-8420-f8aae1425f42 · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.301110Z
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.
Observation 7841c6be-5942-4bb2-8515-eaea65c9315d · outbound
This paper cites B\' a ez-Duarte, A strengthening of the N yman- B eurling criterion for the R iemann hypothesis , Atti Accad.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk B\' a ez-Duarte, A strengthening of the N yman- B eurling criterion for the R iemann hypothesis , Atti Accad
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.289893Z
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.
Observation ef62f859-c759-4453-bf39-b3385c56f684 · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.279321Z
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.
Observation 2ddad2d1-828b-499b-8f73-5f66c8a1f743 · outbound
This paper cites Beurling, The collected Works of Arne Beurling, 2: Harmonic Analysis , Contemp.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Beurling, The collected Works of Arne Beurling, 2: Harmonic Analysis , Contemp
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.268920Z
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.
Observation 40197564-af7d-41f9-9aec-4cc2d794dfa2 · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.258135Z
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.
Observation 4496e44a-3bca-461f-aec1-c5ce8316dcac · outbound
This paper cites Bohr, U ber die Bedeutung der Potenzreihen unendlich vieler Variabeln in der Theorie der Dirichletschen Reien a_n/n^s , Nachr.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Bohr, U ber die Bedeutung der Potenzreihen unendlich vieler Variabeln in der Theorie der Dirichletschen Reien a_n/n^s , Nachr
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.246473Z
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.
Observation 5ad81193-1801-4250-a8f4-53fcf45febdd · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.236305Z
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.
Observation 9a7e629a-61c6-4db3-98a6-fed7b70a0859 · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.226319Z
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.
Observation a66d1948-7996-4c71-9daf-fad9767d8818 · outbound
This paper cites Cole and T.
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.215606Z
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.
Observation dbbcd667-f79e-4980-8990-37053a2436d2 · outbound
This paper cites Dineen, Complex analysis on infinite-dimensional spaces, Springer Monographs in Mathematics, Springer-Verlag, Ltd.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Dineen, Complex analysis on infinite-dimensional spaces, Springer Monographs in Mathematics, Springer-Verlag, Ltd
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.205433Z
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.
Observation 09f22529-3330-4304-9ccf-70d72aac3e44 · outbound
This paper cites Dilation theory and analytic model theory for doubly commuting sequences of $C_{.0}$-contractions.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Dilation theory and analytic model theory for doubly commuting sequences of $C_{.0}$-contractions
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:41:23.931602Z
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.
Observation 5405b73b-2f12-44d1-853e-82d7bc0717e3 · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.194070Z
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.
Observation e0752aff-20ea-432a-9038-7485a9c7abb8 · outbound
This paper cites Gelca, Topological H ilbert N ullstellensatz for B ergman spaces , Integral Equations Operator Theory, 28(1997), 191-195.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Gelca, Topological H ilbert N ullstellensatz for B ergman spaces , Integral Equations Operator Theory, 28(1997), 191-195
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.183326Z
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.
Observation 690a1ba7-3adb-4941-a2b1-0f56c6b1b243 · outbound
This paper cites Hartman, Multiplicative sequences and T \" o plerian (L^2) -bases , Duke Math.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Hartman, Multiplicative sequences and T \" o plerian (L^2) -bases , Duke Math
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.172134Z
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.
Observation 4cc5fa73-6f21-483c-af58-fb0c0b429ec9 · outbound
This paper cites Helson, compact groups and Dirichlet series, Ark.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Helson, compact groups and Dirichlet series, Ark
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.159940Z
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.
Observation 7417373c-a493-48fe-b3f1-433be1953393 · outbound
This paper cites Hedenmalm, P.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Hedenmalm, P
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.147928Z
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.
Observation 35d1ada6-7ce2-47f8-af1a-6f7067e52455 · outbound
This paper cites Hartman and A.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Hartman and A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.137071Z
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.
Observation 7a5ce02a-a0c3-442f-90ef-8d90a203103a · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.128095Z
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.
Observation 9d274a03-6141-49b9-ae58-dbfd3debc4bb · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.118230Z
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.
Observation 63178442-ba29-4f7c-825e-9f84e00333eb · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.106580Z
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.
Observation 3a8bd58f-fb26-4ccd-9929-26f9d49dee45 · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.095636Z
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.
Observation 9f823a3c-a30f-4568-a456-31814672926a · outbound
This paper cites Nikolski, In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc, Ann.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Nikolski, In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc, Ann
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.085168Z
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.
Observation c7975c23-141a-4f1c-b2f1-9b0e12c2ad3e · outbound
This paper cites Nikolski, A correction to `` I n a shadow of the RH : cyclic vectors of H ardy spaces on the H ilbert multidisc'' , Ann.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Nikolski, A correction to `` I n a shadow of the RH : cyclic vectors of H ardy spaces on the H ilbert multidisc'' , Ann
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.073490Z
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.
Observation 71976ef3-7a0a-45aa-8f85-9e137f8a0e81 · outbound
This paper cites Nikolski, Hardy spaces, Translated from the 2012 French edition, Cambridge University Press, Cambridge, 2019.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Nikolski, Hardy spaces, Translated from the 2012 French edition, Cambridge University Press, Cambridge, 2019
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.061914Z
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.
Observation cf3fd89e-017f-4e65-b891-c34c10867ddf · outbound
This paper cites Nikolski, The current state of the dilation completeness problem, A PPT talk at the MSU seminar 2108, and the KCL seminar 2017.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Nikolski, The current state of the dilation completeness problem, A PPT talk at the MSU seminar 2108, and the KCL seminar 2017
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.050276Z
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.
Observation 7352ad50-cfde-4c39-a090-39dc602beef5 · outbound
This paper cites Nikolski, Selected problems of weighted approximation and spectral analysis, Trudy Math.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Nikolski, Selected problems of weighted approximation and spectral analysis, Trudy Math
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.038576Z
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.
Observation e37bfc33-b964-44a3-96d0-2ae62c000e82 · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.025770Z
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.
Observation 89a4cdf2-75c1-4913-9094-7cf358b4db86 · outbound
This paper cites an unresolved cited work.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:41:24.015340Z
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.
Observation 2b7655c8-861d-499d-8d4a-90f59172bb5a · outbound
This paper cites Nyman, On the O ne- D imensional T ranslation G roup and S emi- G roup in C ertain F unction S paces , Thesis, University of Uppsala, 1950.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Nyman, On the O ne- D imensional T ranslation G roup and S emi- G roup in C ertain F unction S paces , Thesis, University of Uppsala, 1950
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:24.004938Z
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.
Observation ce52bd87-9908-468d-9923-22281c79ae1c · outbound
This paper cites Olofsson, On the shift semigroup on the Hardy space of Dirichlet series, Acta Math.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Olofsson, On the shift semigroup on the Hardy space of Dirichlet series, Acta Math
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:23.992284Z
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.
Observation 90e891fd-4012-4330-8f3e-9099077da334 · outbound
This paper cites Rosenblum, Summability of Fourier series in L^p( ) , Trans.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Rosenblum, Summability of Fourier series in L^p( ) , Trans
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:23.979950Z
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.
Observation 9721e39f-ca8c-423e-a40d-a3eb0c1ebee6 · outbound
This paper cites Rudin, Function Theory in Polydisks, Benjamin, New York, 1969.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Rudin, Function Theory in Polydisks, Benjamin, New York, 1969
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:23.968149Z
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.
Observation b446627d-6c98-43f5-bcfd-68624444e7a3 · outbound
This paper cites Shields, Cyclic vectors for multiplication operators, Michigan Math.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Shields, Cyclic vectors for multiplication operators, Michigan Math
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:23.956961Z
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.
Observation 0849bc11-fcc8-4201-bcff-e9081c0dab42 · outbound
This paper cites Wintner, Diophantine approximations and H ilbert's space , Amer.
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk Wintner, Diophantine approximations and H ilbert's space , Amer
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:41:23.945248Z
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.
Pith citing papers
No inbound Pith citation observations are available.