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Matematicheskie Zametki, 2017, Volume 102, Issue 2, paper published in the English version journal (Mi mzm11509)  
This article is cited in 3 scientific papers (total in 3 papers)

Papers published in the English version of the journal

Invariant Subspaces Generated by a Single Function in the Polydisk

B. Koca, N. Sadik

Department of Mathematics, Istanbul University, Istanbul, Turkey
Citations (3)
Abstract: In this study, we partially answer a question left open in Rudin's book “Function Theory in Polydisks” on the structure of invariant subspaces of the Hardy space $H^2(U^n)$ on the polydisk $U^n$. We completely describe all invariant subspaces generated by a single function in the polydisk. Then, using our results, we prove the unitary equivalence of this type of invariant subspace and a characterization of outer functions in $H^2(U^n)$.
Keywords: invariant subspace, Hardy space, polydisk, outer function, inner function, unitarily equivalence.
Received: 01.12.2016
Revised: 06.03.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 2, Pages 193–197
DOI: https://doi.org/10.1134/S0001434617070215
Bibliographic databases:
Document Type: Article
Language: English
Citation: B. Koca, N. Sadik, “Invariant Subspaces Generated by a Single Function in the Polydisk”, Math. Notes, 102:2 (2017), 193–197
Citation in format AMSBIB
\Bibitem{KocSad17}
\by B.~Koca, N.~Sadik
\paper Invariant Subspaces Generated by a Single Function
in the Polydisk
\jour Math. Notes
\yr 2017
\vol 102
\issue 2
\pages 193--197
\mathnet{http://mi.mathnet.ru/mzm11509}
\crossref{https://doi.org/10.1134/S0001434617070215}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000413842800021}
\elib{https://elibrary.ru/item.asp?id=29478256}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85032394870}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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