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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Veröffentlicht in:	Mathematical methods in the applied sciences 2020-03, Vol.43 (4), p.1953-1969
Hauptverfasser:	Prasad, Akhilesh, Sharma, P. B.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Beschreibung
Zusammenfassung:	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