Abstract Harmonic Analysis of Continuous Wavelet Transforms [electronic resource] / by Hartmut Fȭhr.
Tipo de material: TextoSeries Lecture Notes in Mathematics ; 1863 | Lecture Notes in Mathematics ; 1863Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Descripción: X, 193 p. online resourceTipo de contenido:- text
- computer
- online resource
- 9783540315520
- SpringerLink (Online service)
- 515.785 23
- QA403-403.3
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.
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: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a reasonably self-contained exposition of Plancherel theory. Therefore, the book can also be read as a problem-driven introduction to the Plancherel formula.
ZDB-2-SMA
ZDB-2-LNM
No hay comentarios en este titulo.