Equivalence of the Gelfand-Shilov spaces

被引：3
|
作者：
Chung, J
Chung, SY
Kim, D
机构：
[1] SOGANG UNIV,DEPT MATH,SEOUL 121742,SOUTH KOREA
[2] SEOUL NATL UNIV,DEPT MATH,SEOUL 151742,SOUTH KOREA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 203卷 / 03期
关键词：
D O I：
10.1006/jmaa.1996.0414
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that there is a one to one correspondence between the Gelfand-Shilov space W-M(Omega) of type W and the space S-MP(Np) of generalized type S. As an application pie prove the equality W-M boolean AND W-Omega = W-M(Omega), which is a generalization of the equality S, boolean AND S-s = S-r(s) found by I. M. Gelfand and G. E. Shilov (''Generalized Functions, II, III,'' Academic Press, New York/London, 1967). (C) 1996 Academic Press, Inc.
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页码：828 / 839
页数：12
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