Fractional wavelet packet transformations involving Hankel-Clifford integral transformations

Authors
Prasad, Akhilesh Kumar, Sumant
Citation
Prasad, Akhilesh et Kumar, Sumant, Fractional wavelet packet transformations involving Hankel-Clifford integral transformations, Acta mathematica Sinica. English series (Print) , 32(7), 2016, pp. 783-796
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
7
Year of publication
2016
Pages
783 - 796
Database
ACNP
SICI code
Abstract
In this paper, we introduce the fractional wavelet transformations (FrWT) involving Hankel.Clifford integral transformation (HClIT) on the positive half line and studied some of its basic properties. Also we obtain Parseval.s relation and an inversion formula. Examples of fractional powers of Hankel.Clifford integral transformation (FrHClIT) and FrWT are given. Then, we introduce the concept of fractional wavelet packet transformations FrBWPT and FrWPIT, and investigate their properties.