Research PaperNo Access

The product of generalized wavelet transform involving fractional Hankel-type transform on some function spaces

Kanailal Mahato

Department of Mathematics, Institute of Science, Banaras Hindu University Varanasi-221005, India

E-mail Address: kanailalmahato@gmail.com

https://doi.org/10.1142/S0219691319500024Cited by:6 (Source: Crossref)

Abstract

We are concerned with the construction and study of composition of wavelet transform (CWT) associated with generalized fractional Hankel-type transform. Parseval’s identity is obtained for the CWT. Plancherel’s formula is also proposed. This paper goes further to describe the boundedness property of the CWT on Zemanian type and Sobolev type spaces. Some particular cases are derived.

Keywords:

AMSC: 43A32, 42C40, 65T60, 46E35

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