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arXiv · 1506.01169

Semigroups of Hadamard multipliers on the space of real analytic functions

Anna Golińska
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Abstract

An operator $M$ 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.

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Anna Golińska. 2015-06-03. Semigroups of Hadamard multipliers on the space of real analytic functions. https://arxiv.org/abs/1506.01169

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