By Hartmut Führ
This quantity encompasses a systematic dialogue of wavelet-type inversion formulae according to staff representations, and their shut connection to the Plancherel formulation for in the neighborhood compact teams. the relationship is confirmed by way of the dialogue of a toy instance, after which hired for 2 reasons: Mathematically, it serves as a robust instrument, yielding life effects and standards for inversion formulae which generalize the various identified effects. furthermore, the relationship offers the start line for a – quite self-contained – exposition of Plancherel conception. hence, the quantity is additionally learn as a problem-driven creation to the Plancherel formula.
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Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics) by Hartmut Führ