Article

Berezin symbols and Borel summability

Published in: Quaestiones Mathematicae
Volume 40 , issue 3 , 2017 , pages: 403–411

DOI: 10.2989/16073606.2017.1289989

Author(s): M.T. Garayev Department of Mathematics, College of Science, Saudi Arabia , M. Gürdal Department of Mathematics, College of Science, Turkey , U. Yamancı Department of Mathematics, College of Science, Turkey

Keywords: Primary 42B15 , Secondary 40D09 , Primary 42B15 , Secondary 40D09

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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.

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