[图书][B] Wavelet analysis: basic concepts and applications
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 …
introduction to the ideas underpinning wavelet theory and its diverse applications. This book …
On the -Bessel Fourier transform
L Dhaouadi - arXiv preprint arXiv:0809.2773, 2008 - arxiv.org
In this work, we are interested by the $ q $-Bessel Fourier transform with a new approach.
Many important results of this $ q $-integral transform are proved with a new constructive …
Many important results of this $ q $-integral transform are proved with a new constructive …
Positivity of the Generalized Translation Associated with the q-Hankel Transform
A Fitouhi, L Dhaouadi - Constructive Approximation, 2011 - Springer
Positivity of the Generalized Translation Associated with the q-Hankel Transform Page 1 Constr
Approx (2011) 34:453–472 DOI 10.1007/s00365-011-9132-0 Positivity of the Generalized …
Approx (2011) 34:453–472 DOI 10.1007/s00365-011-9132-0 Positivity of the Generalized …
[PDF][PDF] Gabor transform in quantum calculus and applications
H Mejjaoli, N Sraieb - Fract. Calc. Appl. Anal., 2009 - Citeseer
In this work, using the q-Jackson integral and some elements of the q-harmonic analysis
associated with zero order q-Bessel operator, for a fixed q∈] 0, 1 [, we study the q analogue …
associated with zero order q-Bessel operator, for a fixed q∈] 0, 1 [, we study the q analogue …
UNCERTAINTY PRINCIPLES FOR THE q-BESSEL WINDOWED TRANSFORM AND LOCALIZATION OPERATORS
N Sraieb - Journal of Mathematical Sciences, 2023 - Springer
In this work, considering the q-harmonic analysis associated with the q-Bessel Fourier
operator of order zero, for a fixed q∈] 0, 1 [, we define the q-Bessel windowed transform and …
operator of order zero, for a fixed q∈] 0, 1 [, we define the q-Bessel windowed transform and …
Direct and inverse approximation theorems connected with the q-Bessel Fourier transform in weighted space
S Volosivets, Y Krotova - The Ramanujan Journal, 2025 - Springer
We prove direct and inverse approximation theorems for modulus of smoothness of
order\(m> 0\) based on\(q\)-Bessel translation and best approximation by functions with\(q\) …
order\(m> 0\) based on\(q\)-Bessel translation and best approximation by functions with\(q\) …
Uniform convergence of basic Fourier–Bessel series on a q-linear grid
Abstract We study Fourier–Bessel series on aq-linear grid, defined as expansions in
complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and …
complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and …
A few properties of the third Jackson q-Bessel function
JL Cardoso - Analysis Mathematica, 2016 - Springer
Abstract The Hahn–Exton (third Jackson) q-Bessel function attracts the attention of many
researchers in mathematics. We add a few more properties of this important function, such …
researchers in mathematics. We add a few more properties of this important function, such …
On basic Fourier-Bessel expansions
JL Cardoso - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2018 - emis.de
When dealing with Fourier expansions using the third Jackson (also known as Hahn-Exton)
$ q $-Bessel function, the corresponding positive zeros $ j_ {k\nu} $ and the''shifted''zeros …
$ q $-Bessel function, the corresponding positive zeros $ j_ {k\nu} $ and the''shifted''zeros …
Positivity of the generalized translation associated with the q-Hankel transform and applications
L Dhaouadi - Integral Transforms and Special Functions, 2015 - Taylor & Francis
A new formulation of the Graf-type addition formula related to the third Jackson q-Bessel
function gives a solution for the problem of the positivity of the generalized q-translation …
function gives a solution for the problem of the positivity of the generalized q-translation …