Abstract Harmonic Analysis of Continuous Wavelet Transforms

This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Math...

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Bibliographic Details
Main Author: Führ, Hartmut (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Series:Lecture Notes in Mathematics, 1863
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Introduction
  • Wavelet Transforms and Group Representations
  • The Plancherel Transform for Locally Compact Groups
  • Plancherel Inversion and Wavelet Transforms
  • Admissible Vectors for Group Extension
  • Sampling Theorems for the Heisenberg Group
  • References
  • Index.