By Hartmut Führ
This quantity encompasses a systematic dialogue of wavelet-type inversion formulae in accordance with staff representations, and their shut connection to the Plancherel formulation for in the community compact teams. the relationship is validated through the dialogue of a toy instance, after which hired for 2 reasons: Mathematically, it serves as a strong instrument, yielding life effects and standards for inversion formulae which generalize a number of the recognized effects. additionally, the relationship presents the place to begin for a – quite self-contained – exposition of Plancherel concept. as a result, the quantity is also 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