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View article: On some $q$-Bessel type continuous wavelet transform
On some $q$-Bessel type continuous wavelet transform Open
In this paper we continue as in \cite{Rezguietal} to exploit the modified variants of Bessel function in the framework of $q$-theory to construct wavelet operators. A generalized $q$-Bessel type function has been introduced leading to an a…
View article: Some Generalized $q$-Bessel Type Wavelets and Associated Transforms
Some Generalized $q$-Bessel Type Wavelets and Associated Transforms Open
In this paper wavelet functions are introduced in the context of $q$-theory. We precisely extend the case of Bessel and $q$-Bessel wavelets to the generalized $q$-Bessel wavelets. Starting from the $(q,v)$-extension ($v=(α,β)$) of the $q$-…
View article: Wavelet Analysis on the Sphere
Wavelet Analysis on the Sphere Open
puter sciences topics, such as scattering theory, automatic control, signal analysis, potential theory, approximation theory, and numerical analysis.Orthogonal polynomials are special as they are orthogonal with respect to some special wei…
View article: Wavelet Analysis on the Sphere. Spheroidal Wavelets
Wavelet Analysis on the Sphere. Spheroidal Wavelets Open
The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmon…