# Akhilesh Prasad's research while affiliated with Indian Institute of Technology (ISM) Dhanbad and other places

## Publications (4)

Article
Full-text available
In this paper, we define the Wigner-Ville distribution function (WVDF) and corresponding Weyl operator in the linear canonical transform (LCT) domain. Further, we examine Moyle identity for the WVDF and investigate some of its properties. Moreover, we discuss the boundedness and compactness of Weyl operator on the Lp\documentclass[12pt]{minimal} \u...
Article
The main goal of this paper is to study the pseudo-differential operator involving quadratic-phase Fourier transform (QPFT) and its integral representation. Some fundamental properties of QPFT on Schwartz type space SΩ(R) and symbol class Sρ,δm,Ω are introduced. Boundedness property of Sobolev type space is discussed.
Article
Full-text available
In the present paper we defined the composition of quadratic-phase Fourier wavelet transform (QPFWT) and discussed its some properties. Parseval’s identity and inversion formula for the composition of QPFWT are obtained. The boundedness results of QPFWT on generalized weighted Sobolev space are also studied.
Article
In this paper, we establish the convolution and product theorems for the quadratic-phase Fourier transform (QPFT) and also deduce the convolution theorem associated with generalized translation. Moreover, the Shannon-type reconstruction formula for band-limited signals in the QPFT domain is formulated.