Semigroups of Hadamard multipliers on the space of real analytic functions
Functional Analysis
2015-06-19 v2
Abstract
An operator acting on the space of real analytic functions is called a multiplier if every monomial is its eigenvector. In this paper we state some results concerning the problem of generating strongly continuous semigroups by multipliers. In particular we show when the Euler differential operator of finite order is a generator and when it is not.
Keywords
Cite
@article{arxiv.1506.01169,
title = {Semigroups of Hadamard multipliers on the space of real analytic functions},
author = {Anna Golińska},
journal= {arXiv preprint arXiv:1506.01169},
year = {2015}
}