Abstract
The main goal of this paper is to study the wavelet transformation associated with second Hankel–Clifford transformation and some of its basic properties. The Parseval relation and inversion formula are obtained.
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References
Betancor JJ (1989) Two complex variants of Hankel type transformation of generalized functions. Port Math 46(3):229–243
Méndez Pérez JMR, Socas Robayna MM (1991) A pair of generalized Hankel–Clifford transformations and their applications. J Math Anal Appl 154(2):543–557
Prasad A, Singh VK, Dixit MM (2012) Pseudo-differential operators involving Hankel–Clifford transformation. Asian Eur J Math 5(3):15 Article ID 1250040
Debnath L (2002) Wavelet transforms and their applications. Birkhäuser, Boston
Pathak RS, Dixit MM (2003) Continuous and discrete Bessel wavelet transforms. J Comput Appl Math 160(12):241–250
Upadhyay SK, Yadav RN, Debnath L (2012) On continuous Bessel wavelet transformation associated with the Hankel–Housdorff operator. Integral Transform Spec Funct 23(5):315–323
Watson GN (1958) A treatise on the theory of Bessel functions. Cambridge University Press, Cambridge
Acknowledgments
This work is supported by DST, INSPIRE Fellowship, Govt. of India, under the grant No. DST/INSPIRE FELLOWSHIP/2012/479.
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Prasad, A., Kumar, S. Wavelet Transformation Associated with Second Hankel–Clifford Transformation. Natl. Acad. Sci. Lett. 38, 493–496 (2015). https://doi.org/10.1007/s40009-015-0362-8
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DOI: https://doi.org/10.1007/s40009-015-0362-8