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Abstract Harmonic Analysis of Continuous Wavelet Transforms
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Abstract Harmonic Analysis of Continuous Wavelet Transforms Unknown - 2005 - 2005th Edition

by Hartmut Führ


From the publisher

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.

First line

In this chapter we present the representation-theoretic approach to continuous wavelet transforms.

From the rear cover

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 book can also be read as a problem-driven introduction to the Plancherel formula.

Details

  • Title Abstract Harmonic Analysis of Continuous Wavelet Transforms
  • Author Hartmut Führ
  • Binding unknown
  • Edition number 2005th
  • Edition 2005
  • Publisher Springer, Berlin
  • Date April 6, 2005
  • Features Bibliography, Index
  • ISBN 9783540242598
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Abstract Harmonic Analysis of Continuous Wavelet Transforms
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Abstract Harmonic Analysis of Continuous Wavelet Transforms

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Abstract Harmonic Analysis of Continuous Wavelet Transforms
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Abstract Harmonic Analysis of Continuous Wavelet Transforms

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Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics, 1863)
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Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics, 1863)

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Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)
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Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)

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