By Hartmut Führ
This quantity encompasses a systematic dialogue of wavelet-type inversion formulae in accordance with crew representations, and their shut connection to the Plancherel formulation for in the community compact teams. the relationship is validated by way of the dialogue of a toy instance, after which hired for 2 reasons: Mathematically, it serves as a strong instrument, yielding life effects and standards for inversion formulae which generalize some of the recognized effects. additionally, the relationship presents the start line for a – quite self-contained – exposition of Plancherel thought. accordingly, the amount can be 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