On a space of entire functions rapidly decreasing on Rn and its Fourier transform

IF 0.3 Q4 MATHEMATICS
I. Musin
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引用次数: 4

Abstract

Abstract A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper. For such space an equivalent description in terms of estimates on all of its partial derivatives as functions on Rn and a Paley-Wiener type theorem are obtained.
整个函数在Rn上快速递减的空间和它的傅里叶变换
摘要本文研究了一个由若干复变量的整函数在Rn上迅速减小的空间,并且它们沿iRn的增长主要借助于一组权函数。对于这样的空间,得到了它的所有偏导数作为函数在Rn上的估计的等价描述和一个Paley-Wiener型定理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
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