Composition operators on the Wiener-Dirichlet algebra
Functional Analysis
2007-05-23 v1
Abstract
In this paper, we study the composition operators on an algebra of Dirichlet series, the analogue of the Wiener algebra of absolutely convergent Taylor series, which we call the Wiener-Dirichlet algebra. We study the connection between the properties of the operator and of its symbol, with special emphasis on the compact, automorphic, or isometric character of this operator. We are led to the intermediate study of algebras of functions of several, or countably many, complex variables.
Cite
@article{arxiv.math/0410351,
title = {Composition operators on the Wiener-Dirichlet algebra},
author = {Frédéric Bayart and Catherine Finet and Daniel Li and Hervé Queffélec},
journal= {arXiv preprint arXiv:math/0410351},
year = {2007}
}