Generalized wavelets and hypergroups

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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

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Title Statements

Full title :Generalized wavelets and hypergroups / Khalifa Trimèche.

Summary

Edition Statements

Publication Date:1997

Publication Statements

Publisher(s):CRC Press
Place of Publication:Boca Raton, FL
Language:eng
Publication Date:1997

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9780203753712, 0203753712, 9781351445795, 1351445790, 1351445782, 9781351445788
oclc:on1082135888
LC Classification:QA403.3
Dewey Decimal:515/.2433

Cover; Half Title; Title Page; Copyright Page; Table of Contents; Introduction; 1: Product Formulas and Generalized Hypergroups; Introduction; 1.I. Notations; 1. II. Generalized translation operators; 1. III. Generalized hypergroups and harmonic analysis; 1. III. 1. Generalized hypergroups; 1. III. 2. Harmonic analysis on generalized hypergroups; 1. IV. Generalized hypergroups associated with Jacobi functions; 1. IV. 1. The direct case; 1. IV. 2. The dual case; 1.V. Generalized hypergroups associated with the universal covering group of G = SU (n -1, 1)

1.V.l. Preliminaries on the structure of Gl, l = 0, 1, 2,1.V.2. The spherical functions on Gl/K, l = 0, 1, 2,; 1.V.3. Product formulas for the spherical functions on Gl/K, l = 0,1,2,; 1.V.4. Generalized hypergroups associated with Gl, l = 0, 1, 2,; 1. VI. Generalized hypergroups associated with differential operators; 1. VII. Generalized hypergroups associated with partial differential Operators; 2: Hypergroups; Introduction; 2.I. History of hypergroups; 2. II. Definition and properties of hypergroups; 2. II. 1. Definition of a hypergroup; 2. II. 2. Hypergroup isomorphism

2. II. 3. Product of hypergroups2. II. 4. Haar measure on …