By Hartmut Führ
This quantity incorporates a systematic dialogue of wavelet-type inversion formulae in response to staff representations, and their shut connection to the Plancherel formulation for in the community 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 software, yielding life effects and standards for inversion formulae which generalize a few of the identified effects. furthermore, the relationship offers the start line for a – kind of 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