Subcategories

Hartmut Führ - Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics) [Repost]

Posted By: rotten comics
Hartmut Führ - Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics) [Repost]

Hartmut Führ - Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)
2005 | ISBN: 3540242597 | English | 193 pages | PDF | 1.2 MB

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 volume can also be read as a problem-driven introduction to the Plancherel formula.