Abstract Harmonic Analysis of Continuous Wavelet Transforms by Hartmut Führ

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  • Title: Abstract Harmonic Analysis of Continuous Wavelet Transforms
  • Author: Hartmut Führ
  • Category: Mathematics
  • Date: January 2005
  • Lenguage: English
  • Pages: unknown
  • ISBN: 3540315527

 

Ebook description:

This quantity comprises a scientific dialogue of wavelet-type inversion formulae based mostly on group representations, and their shut connection to the Plancherel formulation for regionally compact teams. The connection is demonstrated by the dialogue of a toy instance, after which employed for 2 functions: Mathematically, it serves as a strong instrument, yielding existence outcomes and standards for inversion formulae which generalize many of the identified outcomes. Moreover, the connection offers the start line for a – fairly self-contained – exposition of Plancherel idea. Therefore, the quantity may also be read as a problem-driven introduction to the Plancherel formulation.

 

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