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Fundamental principle and a basis in invariant subspaces

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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.

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Authors and Affiliations

  1. Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia

    A. S. Krivosheev

  2. Bashkir State University, Ufa, Russia

    O. A. Krivosheeva

Authors
  1. A. S. Krivosheev
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  2. O. A. Krivosheeva
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Corresponding author

Correspondence to O. A. Krivosheeva.

Additional information

Original Russian Text © A. S. Krivosheev, O. A. Krivosheeva, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 5, pp. 684–697.

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Krivosheev, A.S., Krivosheeva, O.A. Fundamental principle and a basis in invariant subspaces. Math Notes 99, 685–696 (2016). https://doi.org/10.1134/S0001434616050072

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  • DOI: https://doi.org/10.1134/S0001434616050072

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