Cargando…
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...
Autor principal: | |
---|---|
Lenguaje: | eng |
Publicado: |
Springer
2005
|
Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/b104912 http://cds.cern.ch/record/1690679 |
Sumario: | 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. |
---|