[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 …
[图书][B] Quaternion and Clifford Fourier Transforms
E Hitzer - 2021 - taylorfrancis.com
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 …
Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first …
Pitt's inequalities and uncertainty principle for generalized Fourier transform
DV Gorbachev, VI Ivanov… - International Mathematics …, 2016 - academic.oup.com
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 …
exp (i π 2 a Δ k, a), which are called (k, a)-generalized Fourier transforms and defined by the …
History of quaternion and Clifford-Fourier transforms and wavelets
F Brackx, E Hitzer, SJ Sangwine - Quaternion and Clifford Fourier …, 2013 - Springer
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 …
several different threads, reflected in the overview of the subject presented in this chapter …
L p -Lq Boundedness of (k, a)-Fourier Multipliers with Applications to Nonlinear Equations
V Kumar, M Ruzhansky - International Mathematics Research …, 2023 - academic.oup.com
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 …
harmonic oscillator. The main aim of this paper is to prove-boundedness of-generalised …
Weighted inequalities and uncertainty principles for the -generalized Fourier transform
TR Johansen - International Journal of Mathematics, 2016 - World Scientific
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 …
the (k, a)-generalized Fourier transform recently investigated at length by Ben Saïd …
k-Hankel two-wavelet theory and localization operators
H Mejjaoli, K Trimèche - Integral Transforms and Special Functions, 2020 - Taylor & Francis
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 …
boundedness and compactness of localization operators associated with k-Hankel wavelet …
Spectral theorems associated with the (k, a)-generalized wavelet multipliers
H Mejjaoli - Journal of Pseudo-Differential Operators and …, 2018 - Springer
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 …
generalized wavelet multipliers are the classical and Dunkl wavelet multipliers. The …
Geometric algebra model for geometry‐oriented topological relation computation
Classical topological relation expressions and computations are primarily based on abstract
algebra. In this article, the representation and computation of geometry‐oriented topological …
algebra. In this article, the representation and computation of geometry‐oriented topological …
(k, a)-generalized wavelet transform and applications
H Mejjaoli - Journal of Pseudo-Differential Operators and …, 2020 - Springer
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 …
generalized wavelet transform are the classical and the Dunkl wavelet transforms. The …