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Abstract Harmonic Analysis of Continuous Wavelet Transforms|Hartmut Führ

Abstract Harmonic Analysis of Continuous Wavelet Transforms

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Overview

This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a - reasonably self-contained - exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.

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Details

  • ISBN-13: 9783540242598
  • ISBN-10: 3540242597
  • Publisher: Springer
  • Publish Date: February 2005
  • Dimensions: 9.1 x 6.1 x 0.5 inches
  • Shipping Weight: 0.7 pounds
  • Page Count: 193

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