Abstract Harmonic Analysis of Continuous Wavelet Transforms [electronic resource] / by Hartmut Führ.

9783540315520

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.

1 online resource (X, 193 p).

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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.

Springer ENIN.

Books / Online

English

September 12, 2018