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...
Main Author: | |
---|---|
Corporate Author: | |
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.