{
"item_title" : "Abstract Harmonic Analysis of Continuous Wavelet Transforms",
"item_author" : [" Hartmut Führ "],
"item_description" : "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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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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