Generalized Wavelets and Hypergroups
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A01=Khalifa Trimeche
advanced signal processing
Author_Khalifa Trimeche
Category=PBT
Classical Fourier Transform
Classical Wavelet
Compact Case
Compact Subgroup
Continuous Wavelet Transform
continuous wavelet transforms on hypergroups
Convolution Algebra
Convolution Product
Dirac Measure
Double Coset
ELF
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fubini Tonelli's Theorem
Fubini Tonelli’s Theorem
functional analysis techniques
Generalized Convolution Product
Generalized Fourier Transform
Generalized radon transform
Generalized Translation Operators
Generalized Wavelet
Haar Measure
harmonic analysis methods
Hilbert Space
Hypergroups
Inverse Operator
Inversion Formula
Lie group theory
mathematical physics applications
Nonzero Function
Parseval Formulas
Partial Differential Operators
Plancherel Formula
Positive Radon Measure
Radon Transform
spherical mean operator
Wavelet transforms
Windowed spherical Fourier transform
Product details
- ISBN 9789056990800
- Weight: 840g
- Dimensions: 178 x 254mm
- Publication Date: 22 Oct 1997
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Wavelets have recently been enjoying a period of popularity and rapid growth, and the influence of wavelet methods now extends well beyond mathematics into a number of practical fields, including statistics. The theory of hypergroups can be traced back to the turn of the century, and following its formalization in the early 1970s, the area has now reached maturity.
Hypergroups provide a very general and flexible context in which many of the classical techniques of harmonic analysis can be fruitfully employed. It is, therefore, natural to seek to exploit the newer techniques of wavelet analysis in this area. This text addresses itself to this challenge in some depth, providing a thorough and authoritative account of wavelet methods applied to hypergroups.
