By Hartmut Führ
This quantity features a systematic dialogue of wavelet-type inversion formulae according to workforce representations, and their shut connection to the Plancherel formulation for in the neighborhood compact teams. the relationship is established through the dialogue of a toy instance, after which hired for 2 reasons: Mathematically, it serves as a robust software, yielding lifestyles effects and standards for inversion formulae which generalize some of the identified effects. in addition, the relationship presents the start line for a – quite self-contained – exposition of Plancherel idea. for that reason, the quantity is also 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