Wavelets through a Looking Glass : The World of the Spectrum (Applied and Numerical Harmonic Analysis)

Bratteli, Ola/ Jorgensen, Palle E. T.

Birkhauser（2002/07発売）

• 製本 Hardcover:ハードカバー版／ページ数 256 p.
• 言語 ENG
• 商品コード 9780817642808
• DDC分類 515.2433

Full Description

? Concise background material for each chapter, open problems, exercises, bibliography, and comprehensive index make this work a fine pedagogical and reference resource.; New previously unpublished results appear on the homotopy of multiresolutions, approximation theory, the spectrum and structure of the fixed points of the associated transfer, subdivision operators; Key topics of wavelet theory are examined; Excellent graphics show how wavelets depend on the spectra of the transfer operators; The important role of the spectrum of a transfer operator is studied; This self-contained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory.

Contents

Preface * List of Figures * List of Tables * 1. Introduction * 2.
Homotopy Theory and Cascades * 3. Can You Hear the Shape of a Wavelet?
* 4. The Transfer Operator and Perron-Frobenius Theory * 5. The Fixed
Points of the Transfer Operator * 6. Orthogonalization and Isospectral
Approximation * References * Index