Email this article Fundamental principle and a basis in invariant subspaces
- Authors: Krivosheev A.S.1, Krivosheeva O.A.2
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Affiliations:
- Institute of Mathematics with Computing Centre, Ufa Science Centre
- Bashkir State University
- Issue: Vol 99, No 5-6 (2016)
- Pages: 685-696
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149394
- DOI: https://doi.org/10.1134/S0001434616050072
- ID: 149394
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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.
About the authors
A. S. Krivosheev
Institute of Mathematics with Computing Centre, Ufa Science Centre
Email: kriolesya2006@yandex.ru
Russian Federation, Ufa
O. A. Krivosheeva
Bashkir State University
Author for correspondence.
Email: kriolesya2006@yandex.ru
Russian Federation, Ufa
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