Semigroups of Hadamard multipliers on the space of real analytic functions
Volume 121 / 2018
Annales Polonici Mathematici 121 (2018), 217-229
MSC: Primary 47D06; Secondary 26E05, 30B40, 46E10.
DOI: 10.4064/ap180425-7-9
Published online: 5 November 2018
Abstract
An operator $M$ acting on the space of real analytic functions $\mathscr {A}(\mathbb {R})$ is called a multiplier if every monomial is its eigenvector. In this paper we state some results concerning strongly continuous semigroups generated by Hadamard multipliers. In particular we show when an Euler differential operator of finite order is a generator and when it is not.
