HADAMARD PRODUCTS AND SCHWARTZ FUNCTIONS

被引：0
|
作者：
Hegde, Devadatta G. [1 ]
机构：
[1] Vincent Hall,206 Church St SE, Minneapolis, MN 55455 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 10期
关键词：
D O I：
10.1090/proc/16371
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that functions of the form Pi(n >= 1) (1+x(2)/a(n)(2))(-1) (a(n) > 0) are in the Schwartz space of the real line whenever the infinite product converges uniformly on compact subsets of C, answering a question of Bill Casselman. We also include a different proof due to Jean-Loup Waldspurger.
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页码：4537 / 4541
页数：5
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