Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained
introduction to the ideas underpinning wavelet theory and its diverse applications. This book …

Quaternion and Clifford Fourier Transforms describes the development of quaternion and
Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first …

We study the two-parameter family of unitary operators F k, a= exp (i π 2 a (2〈 k〉+ d+ a− 2))
exp (i π 2 a Δ k, a), which are called (k, a)-generalized Fourier transforms and defined by the …

The development of hypercomplex Fourier transforms and wavelets has taken place in
several different threads, reflected in the overview of the subject presented in this chapter …

The-generalised Fourier transform is the unitary operator defined using the-deformed Dunkl
harmonic oscillator. The main aim of this paper is to prove-boundedness of-generalised …

We obtain several versions of the Hausdorff–Young and Hardy–Littlewood inequalities for
the (k, a)-generalized Fourier transform recently investigated at length by Ben Saïd …

In this paper, we present the basic k-Hankel wavelet theory. Next, we study the
boundedness and compactness of localization operators associated with k-Hankel wavelet …

We introduce the notion of the (k, a)-generalized wavelet multipliers. Particular cases of such
generalized wavelet multipliers are the classical and Dunkl wavelet multipliers. The …

Classical topological relation expressions and computations are primarily based on abstract
algebra. In this article, the representation and computation of geometry‐oriented topological …

We introduce the notion of the (k, a)-generalized wavelet transform. Particular cases of such
generalized wavelet transform are the classical and the Dunkl wavelet transforms. The …