The Kotake–Narasimhan theorem in general ultradifferentiable classes

Author:

Fürdös StefanORCID

Abstract

AbstractWe prove a Kotake–Narasimhan type theorem in general ultradifferentiable classes given by weight matrices. In doing so we simultaneously recover and generalize significantly the known results for classes given by weight sequences and weight functions. In particular, we obtain a sharp Kotake–Narasimhan theorem for Beurling classes.

Funder

Austrian Science Fund

University of Vienna

Publisher

Springer Science and Business Media LLC

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