Composition of Quadratic-Phase Fourier Wavelet Transform

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...

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Veröffentlicht in:	International journal of applied and computational mathematics 2022, Vol.8 (3), Article 90
Hauptverfasser:	Sharma, P. B., Prasad, Akhilesh
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Applied mathematics Composition Computational mathematics Computational Science and Engineering Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Nuclear Energy Operations Research/Decision Theory Original Paper Sobolev space Theoretical Wavelet transforms
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Zusammenfassung:	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.
ISSN:	2349-5103 2199-5796
DOI:	10.1007/s40819-022-01297-2