paper

Tauberian theorems for --summability with respect to an analytic germ

arXiv:1903.08898 · doi:10.1016/j.jmaa.2020.124174

Abstract

The goal of this article is to establish tauberian theorems for the --summability processes defined by germs of analytic functions in several complex variables. The proofs are based on the tauberian theorems for --summability in one variable and in monomials, and a method of monomialization of germs of analytic functions.

20 pages