The Fréchet Schwartz Algebra of Uniformly Convergent Dirichlet Series
نویسندگان
چکیده
منابع مشابه
On Absolutely Convergent Dirichlet Series
satisfying zZ\ \^A < °°, if and only if f is) is bounded away from zero in the half-plane 0-3:0. This discovery amounts to a determination of the spectrum of the Banach-algebra element associated with fis), and it thus makes available for the theory of ordinary Dirichlet series the well-known theorem of Gelfand on analytic functions of Banach-algebra elements (see §24D of [7]) and its generaliz...
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1 Introduction The aim of this paper is to contribute to the study of the algebra of bounded Dirichlet series. But we must first recall several definitions, notations, and facts. The analytic theory of Dirichlet series is similar to that of power series, but with important differences: whereas a power series has one radius of convergence, a Dirichlet series f (s) = ∞ 1 a n n −s , s = σ + it (1....
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2018
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091517000438