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Sbornik: Mathematics, 2016, Volume 207, Issue 7, Pages 942–963
DOI: https://doi.org/10.1070/SM8534
(Mi sm8534)
 

This article is cited in 4 scientific papers (total in 4 papers)

Spectral analysis on the group of conformal automorphisms of the unit disc

V. V. Volchkov, Vit. V. Volchkov

Donetsk National University, Ukraine
References:
Abstract: For the group $G$ of conformal automorphisms of the unit disc the problem of spectral analysis is considered for subspaces $\mathscr{U}\subset C(G)$ which are invariant under right shifts by elements of $G$ and conjugations by elements of the rotation subgroup. It turns out that, in contrast to subspaces of $C(G)$ which are merely invariant under right shifts, $\mathscr{U}$ contains a minimal subspace with the above properties.
Bibliography: 26 titles.
Keywords: spectral analysis, conformal automorphism group, invariant subspace, Schwartz theorem.
Received: 29.04.2015 and 02.04.2016
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 7, Pages 57–80
DOI: https://doi.org/10.4213/sm8534
Bibliographic databases:
Document Type: Article
UDC: 517.444
MSC: 43A45
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, Vit. V. Volchkov, “Spectral analysis on the group of conformal automorphisms of the unit disc”, Mat. Sb., 207:7 (2016), 57–80; Sb. Math., 207:7 (2016), 942–963
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM8534
  • https://www.mathnet.ru/eng/sm/v207/i7/p57
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:416
    Russian version PDF:43
    English version PDF:15
    References:43
    First page:32
     
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