E Book

Abstract Harmonic Analysis of Continuous Wavelet Transforms

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Introduction -- Wavelet Transforms and Group Representations -- The Plancherel Transform for Locally Compact Groups -- Plancherel Inversion and Wavelet Transforms -- Admissible Vectors for Group Extension -- Sampling Theorems for the Heisenberg Group -- References -- Index.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.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Berlin, Heidelberg : Springer., 2005

Deskripsi Fisik

X, 193 p.online resource.

Bahasa

English

ISBN/ISSN

9783540315520

Klasifikasi

515.785

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed. 2005.

Subjek

Fourier analysis.
Harmonic analysis.
Abstract Harmonic Analysis.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Hartmut Führ.

Versi lain/terkait

Lampiran Berkas

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