Convergence of Dirichlet series on a finite-dimensional space

Authors

  • Sergii Favorov Karazin’s Kharkiv National University, Ukraine
  • Natalia Girya National Technical University, Kharkiv Polytechnic Institute, Ukraine

DOI:

https://doi.org/10.26485/0459-6854/2018/68.2/6

Keywords:

Dirichlet series, exponents of a Dirichlet series, Fourier series, Stepanov’s metric, Besicovitch’s metric, almost periodic function

Abstract

We consider conditions for convergence of Dirichlet series on a finite-dimensional space in Stepanov’s metric. Also, we obtain some applications for Stepanov’s and Besicovitch’s almost periodic functions.

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Published

2019-04-26

Issue

Vol. 68 No. 2 (2018)

Section

Articles