The Journal of the Indian Mathematical Society

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Continuous Fractional Power Bessel Wavelet Transform on Zemanian Type Spaces


Affiliations
1 Department of Applied Mathematics, Indian School of Mines, Dhanbad-826 004, India
     

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The aim of this paper is to study the existence and continuity results for continuous fractional power Bessel wavelet transform (CFrPBWT) and product of two CFrPBWT is investigated. A reconstruction formula for the product of the CFrPBWT, under suitable admissibility condition is derived.

Keywords

Continuous Fractional Power Bessel Wavelet Transform, Hankel Transform, Fractional Power Hankel Transform, Zemanian Space.
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  • Continuous Fractional Power Bessel Wavelet Transform on Zemanian Type Spaces

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Authors

Akhilesh Prasad
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826 004, India
Ashutosh Mahato
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826 004, India

Abstract


The aim of this paper is to study the existence and continuity results for continuous fractional power Bessel wavelet transform (CFrPBWT) and product of two CFrPBWT is investigated. A reconstruction formula for the product of the CFrPBWT, under suitable admissibility condition is derived.

Keywords


Continuous Fractional Power Bessel Wavelet Transform, Hankel Transform, Fractional Power Hankel Transform, Zemanian Space.