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Matematicheskie Zametki, 2016, Volume 99, Issue 5, Pages 684–697
DOI: https://doi.org/10.4213/mzm10848 (Mi mzm10848) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Fundamental Principle and a Basis in Invariant Subspaces

A. S. Krivosheeva, O. A. Krivosheevab

a Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
b Bashkir State University, Ufa
Full-text PDF (482 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm10848
Abstract: In the paper, first-order complex sequences with finite maximal angular density are studied. A criterion for such a sequence to be a part of a regularly distributed set with a given angular density is obtained. Using this criterion, we present complete solutions of fundamental principle problems and basis for an invariant subspace of analytic functions in a bounded convex domain.
Keywords: complex sequence with finite maximal angular density, regularly distributed set, fundamental principle, basis of an invariant subspace.
Received: 23.06.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 5, Pages 685–696
DOI: https://doi.org/10.1134/S0001434616050072
Bibliographic databases:
Document Type: Article
UDC: 517.52+517.53
Language: Russian
Citation: A. S. Krivosheev, O. A. Krivosheeva, “Fundamental Principle and a Basis in Invariant Subspaces”, Mat. Zametki, 99:5 (2016), 684–697; Math. Notes, 99:5 (2016), 685–696
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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