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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) [Repost]](https://pixhost.icu/avaxhome/35/41/003f4135.jpeg)
Hartmut Führ - Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)
2005 | ISBN: 3540242597 | English | 193 pages | PDF | 1.2 MB
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.