Wavelets through a looking glass : the world of the spectrum
著者
書誌事項
Wavelets through a looking glass : the world of the spectrum
（Applied and numerical harmonic analysis / series editor, John J. Benedetto）
Birkhäuser, c2002
- : us
- : sz
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注記
Includes bibliographical references (p. [369]-385) and index
内容説明・目次
内容説明
? 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bibliography, and comprehensive index make this work a fine pedagogical and reference resource.; New previously unpublished results appear on the homotopy of multiresolutions, approximation theory, the spectrum and structure of the fixed points of the associated transfer,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.
目次
Preface * List of Figures * List of Tables * Introduction * Homotopy Theory and Cascades * Can You Hear the Shape of a Wavelet? * The Transfer Operator and Perron-Frobenius Theory * The Fixed Points of the Transfer Operator * Orthogonalization and Isospectral Approximation * References * Index
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