The Fréchet Schwartz Algebra of Uniformly Convergent Dirichlet Series

Author:

Bonet José

Abstract

AbstractThe algebra of all Dirichlet series that are uniformly convergent in the half-plane of complex numbers with positive real part is investigated. When it is endowed with its natural locally convex topology, it is a non-nuclear Fréchet Schwartz space with basis. Moreover, it is a locally multiplicative algebra but not aQ-algebra. Composition operators on this space are also studied.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 35 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Integration Operators on Spaces of Dirichlet Series;Acta Mathematica Sinica, English Series;2023-10

2. Fréchet spaces of general Dirichlet series;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-06-08

3. Hardy space of translated Dirichlet series;Mathematische Zeitschrift;2021-03-05

4. The differentiation operator in the space of uniformly convergent Dirichlet series;Mathematische Nachrichten;2020-06-08

5. Subject Index;Dirichlet Series and Holomorphic Functions in High Dimensions;2019-08-08

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