The quadratic‐phase Fourier wavelet transform

In this paper, we define the quadratic‐phase Fourier wavelet transform (QPFWT) and discuss its basic properties including convolution for QPFWT. Further, inversion formula and the Parseval relation of QPFWT are also discussed. Continuity of QPFWT on some function spaces are studied. Moreover, some a...

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Bibliographic Details
Published in:	Mathematical methods in the applied sciences Vol. 43; no. 4; pp. 1953 - 1969
Main Authors:	Prasad, Akhilesh, Sharma, P. B.
Format:	Journal Article
Language:	English
Published:	Freiburg Wiley Subscription Services, Inc 15-03-2020
Subjects:	Boundary value problems Convolution Fourier transforms Function space generalized Sobolev type space Partial differential equations Phase transitions quadratic‐phase Fourier transform quadratic‐phase Fourier wavelet transform wavelet transform Wavelet transforms
Online Access:	Get full text
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Summary:	In this paper, we define the quadratic‐phase Fourier wavelet transform (QPFWT) and discuss its basic properties including convolution for QPFWT. Further, inversion formula and the Parseval relation of QPFWT are also discussed. Continuity of QPFWT on some function spaces are studied. Moreover, some applications of quadratic‐phase Fourier transform (QPFT) to solve the boundary value problems of generalized partial differential equations.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.6018