Dual of the function algebra $A^{-\infty }(D)$ and representation of functions in Dirichlet series
- Autores: Alexander V. Abanin, Le Hai Khoi
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3623-3635
- Idioma: inglés
- DOI: 10.1090/s0002-9939-10-10383-9
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Resumen
In this paper we present the following results: a description, via the Laplace transformation of analytic functionals, of the dual to the (DFS)-space ( being either a bounded -smooth convex domain in , with , or a bounded convex domain in ) as an (FS)-space of entire functions satisfying a certain growth condition; an explicit construction of a countable sufficient set for ; and a possibility of representating functions from in the form of Dirichlet series.
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