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Beschreibung
? 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bibliography, and comprehensive index make this work a fine pedagogical and reference resource.; New previously unpublished results appear on the homotopy of multiresolutions, approximation theory, the spectrum and structure of the fixed points of the associated transfer,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.
? 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bibliography, and comprehensive index make this work a fine pedagogical and reference resource.; New previously unpublished results appear on the homotopy of multiresolutions, approximation theory, the spectrum and structure of the fixed points of the associated transfer,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.
Zusammenfassung
This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral- theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. Self-contained, the work deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students and researchers in applied mathematics and engineering.
Inhaltsverzeichnis
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
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
Details
Erscheinungsjahr: | 2002 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Applied and Numerical Harmonic Analysis |
Inhalt: |
xxii
398 S. |
ISBN-13: | 9780817642808 |
ISBN-10: | 0817642803 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: |
Bratteli, Ola
Jorgensen, Palle |
Zeichner: | B. Treadway |
Illustrator: | B Treadway |
Hersteller: |
Birkhuser Boston
Birkhäuser Boston Applied and Numerical Harmonic Analysis |
Maße: | 260 x 183 x 29 mm |
Von/Mit: | Ola Bratteli (u. a.) |
Erscheinungsdatum: | 12.07.2002 |
Gewicht: | 0,99 kg |
Zusammenfassung
This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral- theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. Self-contained, the work deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students and researchers in applied mathematics and engineering.
Inhaltsverzeichnis
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
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
Details
Erscheinungsjahr: | 2002 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Applied and Numerical Harmonic Analysis |
Inhalt: |
xxii
398 S. |
ISBN-13: | 9780817642808 |
ISBN-10: | 0817642803 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: |
Bratteli, Ola
Jorgensen, Palle |
Zeichner: | B. Treadway |
Illustrator: | B Treadway |
Hersteller: |
Birkhuser Boston
Birkhäuser Boston Applied and Numerical Harmonic Analysis |
Maße: | 260 x 183 x 29 mm |
Von/Mit: | Ola Bratteli (u. a.) |
Erscheinungsdatum: | 12.07.2002 |
Gewicht: | 0,99 kg |
Warnhinweis