The Kotake-Narasimhan Theorem in general ultradifferentiable classes

Abstract

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

Revised version

References in corpus (1)

• The Theorem of Iterates for elliptic and non-elliptic Operators

Cited by in corpus (1)

• Ellipticity and the problem of iterates in Denjoy-Carleman classes