Abstract Harmonic Analysis of Continuous Wavelet Transforms by Hartmut Führ

By Hartmut Führ

This quantity incorporates a systematic dialogue of wavelet-type inversion formulae according to crew representations, and their shut connection to the Plancherel formulation for in the neighborhood compact teams. the relationship is validated by means 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 some of the identified effects. additionally, the relationship offers the place to begin for a – kind of self-contained – exposition of Plancherel idea. accordingly, the quantity is also learn as a problem-driven advent to the Plancherel formula.

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