Differentiation operator in the Beurling space of ultradifferentiable functions of normal type on an interval
Complex Variables
2022-02-22 v1
Abstract
In this paper we study closed subspaces of ultradifferentiable functions which are invariant under the differentiation operator. We propose a version of spectral synthesis which takes into account the presence of non-trivial differentiation invariant subspaces containing no exponential monomials. As an application, we describe the sets of solutions of finite and infinite systems of <<local>> homogeneous convolution equations.
Keywords
Cite
@article{arxiv.2202.09997,
title = {Differentiation operator in the Beurling space of ultradifferentiable functions of normal type on an interval},
author = {Natalia Abuzyarova},
journal= {arXiv preprint arXiv:2202.09997},
year = {2022}
}