A representation of a solution of a homogenous convolution equation as the series of exponential monomials

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Doklady Bashkirskogo Universiteta. 2017. Volume 2. No. 4. pp. 555-558.

Authors

Krivosheeva O. A.*
Bashkir State University
32 Zaki Validi Street, 450074 Ufa, Republic of Bashkortostan, Russia

Abstract

In the paper it is shown that every analytic solution of the homogeneous convolution equation with the characteristic function of a minimal exponential type in the domain of its existence is represented as the series of exponential monomials. It is also given a generalization of G. Polya’s results.

Keywords

  • invariant subspace
  • upper density
  • fundamental principle
  • convolution equation
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