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

Published 21 Mar 2019 in math.CV | (1903.08898v1)

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

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