Generalized Wavelets and Hypergroups

Generalized Wavelets and Hypergroups

by Trimèche, K.

Type Book
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Title Statements

  • Full title :Generalized Wavelets and Hypergroups.

Edition Statements

  • Publication Date:©2018.

Publication Statements

  • Publisher(s):Routledge
  • Place of Publication:Boca Raton
  • Language:eng
  • Publication Date:©2018.

The Physical Object

  • Description:1 online resource (367 pages)

Edition Identifiers

  • ISBN:9781351445795, 1351445790
  • oclc:on1097119238
  • LC Classification:QA403.3.T76 1997
  • Dewey Decimal:515.2433

Table of Contents

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. Produ…

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