Generalized Harmonic Analysis and Wavelet Packets
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A01=Khalifa Trimeche
advanced harmonic analysis research
Author_Khalifa Trimeche
Bessel Operator
Category=PBKF
Classical Wavelet
Compact Support
Continuous Wavelet Transform
Convolution Product
differential equations
Dominated Convergence Theorem
Dual Exponent
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fourier Bessel Transform
Fourier Cosine Transform
Fubini Tonelli's Theorem
Fubini's Theorem
Function Gj
functional analysis
Generalized Convolution Product
Generalized Translation Operators
Holder's Inequality
hypergroup theory
Negative Definite Function
Normalized Bessel Function
operator methods
Plancherel Formula
Poisson Transform
probability applications
Radon Transform
special functions
Topological Isomorphism
Transmutation Operator
Vague Convergence
Wavelet Packets
Wavelet Transform
Product details
- ISBN 9789056993290
- Weight: 848g
- Dimensions: 174 x 246mm
- Publication Date: 07 Mar 2001
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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The book presents a more comprehensive treatment of transmutation operators associated with the Bessel operator, and explores many of their properties. They are fundamental in the complete study of the Bessel harmonic analysis and the Bessel wavelet packets. Many applications of these theories and their generalizations have been injected throughout the text by way of a rich collection of problems and references. The results and methods in this book should be of interest to graduate and researchers working in special functions such as Fourier analysis, hypergroup and operator theories, differential equations, probability theory and mathematical physics. Background materials are given in adequate detail to enable a graduate student to proceed rapidly from the very basics of the frontier of research in the area of generalized harmonic analysis and wavelets.
