Abstract Harmonic Analysis of Continuous Wavelet Transforms

Name: Abstract Harmonic Analysis of Continuous Wavelet Transforms
Brand: Springer Nature
SKU: 9783540315520
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Springer Nature

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9783540315520

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

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