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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm8534https://doi.org/10.1070/SM8534 https://www.mathnet.ru/eng/sm/v207/i7/p57
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Abstract page: | 416 | Russian version PDF: | 43 | English version PDF: | 15 | References: | 43 | First page: | 32 |
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