The continuous fractional wavelet transform on generalized weighted Sobolev spaces

被引：7

作者：

Prasad, Akhilesh ^{[1
]}

Kumar, Praveen ^{[1
]}

机构：

[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Bihar, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2015年 / 8卷 / 03期

关键词：

Continuous wavelet transform; fractional fourier transform; weighted Sobolev spaces; Schwartz space;

D O I：

10.1142/S1793557115500540

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the continuous fractional wavelet transform is defined and boundedness results of this transform on generalized weighted Sobolev spaces are obtained. Characterization of the range of continuous fractional wavelet transform is also discussed.

引用

页数：11

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