Berezin symbols and Borel summability

  • M.T. Garayev
  • M Gürdal
Keywords: Borel summabiliy, Berezin symbol, diagonal operator, compact operator, (e)-convergence, Tauberian type theorem, Fock space

Abstract

We prove in terms of so-called Berezin symbols some theorems for Borel summability method for sequences and series of complex numbers. Namely, we characterize the Borel convergent sequences and series; prove regularity of Borel summability method, and prove a new Tauberian type theorem for Borel summability.

Keywords: Borel summabiliy, Berezin symbol, diagonal operator, compact operator, (e)-convergence, Tauberian type theorem, Fock space

Published
2017-05-19
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606