Description
BIRKHAUSER Wavelets Through A Looking Glass The World Of The Spectrum 2002 Edition by Ola Bratteli Palle Jorgensen Drawings by B. Treadway
? 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bibliography and comprehensive index make this work a fine pedagogical and reference resource.; New previously unpublished results appear on the homotopy of multiresolutions approximation theory the spectrum and structure of the fixed points of the associated transfer subdivision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. Table of contents : 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