By Hartmut Führ
This quantity incorporates a systematic dialogue of wavelet-type inversion formulae in line with team representations, and their shut connection to the Plancherel formulation for in the community compact teams. the relationship is tested by means of 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 the various recognized effects. in addition, the relationship offers the start line for a – quite self-contained – exposition of Plancherel conception. for that reason, the quantity 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