Abstract
The main goal of this paper is to study the composition of continuous fractional wavelet transform (CFrWT) and its some boundedness results on generalized weighted Sobolev spaces. Application of the fractional Fourier transform in solving the generalized Laplace equation is given. Parseval’s relation and an inversion formula for composition of CFrWT are also obtained.
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Acknowledgments
This work is supported by NBHM (DAE) Project, Govt. of India, under Grant No. 2/48(14)/2011/-R&D II/3501.
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Prasad, A., Kumar, P. Composition of the Continuous Fractional Wavelet Transforms. Natl. Acad. Sci. Lett. 39, 115–120 (2016). https://doi.org/10.1007/s40009-016-0421-9
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DOI: https://doi.org/10.1007/s40009-016-0421-9