By Hartmut Führ
This quantity includes a systematic dialogue of wavelet-type inversion formulae in keeping with workforce representations, and their shut connection to the Plancherel formulation for in the community compact teams. the relationship is confirmed through the dialogue of a toy instance, after which hired for 2 reasons: Mathematically, it serves as a robust device, yielding lifestyles effects and standards for inversion formulae which generalize some of the recognized effects. furthermore, the relationship presents the place to begin for a – quite self-contained – exposition of Plancherel thought. accordingly, the amount is usually learn as a problem-driven advent to the Plancherel formula.
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Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics) by Hartmut Führ