DUAL OF THE FUNCTION ALGEBRA A(-infinity)(D) AND REPRESENTATION OF FUNCTIONS IN DIRICHLET SERIES

作者：Abanin A V^*; Khoi Le Hai

来源：Proceedings of the American Mathematical Society, 2010, 138(10): 3623-3635.

• Function algebra
• dual space
• Laplace transformation
• sufficient set
• Dirichlet series

In this paper we present the following results: a description, via the Laplace transformation of analytic functionals, of the dual to the (DFS)-space A(-infinity)(D) (D being either a bounded C-2-smooth convex domain in C-N, with N > 1, or a bounded convex domain in C) as an (FS)-space A(D)(-infinity) of entire functions satisfying a certain growth condition; an explicit construction of a countable sufficient set for A(D)(-infinity); and a possibility of representating functions from A(-infinity)(D)in the form of Dirichlet series.

• 出版日期2010-10
• 单位南阳理工学院