Composition of Quadratic-Phase Fourier Wavelet Transform

被引:0
作者
Sharma P.B. [1 ]
Prasad A. [1 ]
机构
[1] Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad
关键词
Fourier transform; Quadratic-phase Fourier wavelet transform; Wavelet transform; Weighted Sobolev spaces;
D O I
10.1007/s40819-022-01297-2
中图分类号
学科分类号
摘要
In the present paper we defined the composition of quadratic-phase Fourier wavelet transform (QPFWT) and discussed its some properties. Parseval’s identity and inversion formula for the composition of QPFWT are obtained. The boundedness results of QPFWT on generalized weighted Sobolev space are also studied. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
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