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