Wavelets Through a Looking Glass

The World of the Spectrum

Ola Bratteli, Palle Jorgensen (Autoren)

Buch | Softcover

398 Seiten

2013 | Softcover reprint of the original 1st ed. 2002
Springer-Verlag New York Inc.
978-1-4612-6415-6 (ISBN)

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? 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bibliography, and comprehensive index make this work a fine pedagogical and reference resource.; New previously unpublished results appear on the homotopy of multiresolutions, approximation theory, the spectrum and structure of the fixed points of the associated transfer,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.

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

Reihe/Serie	Applied and Numerical Harmonic Analysis
Illustrationen	B. Treadway
Zusatzinfo	XXII, 398 p.
Verlagsort	New York
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik ► Elektrotechnik / Energietechnik
ISBN-10	1-4612-6415-4 / 1461264154
ISBN-13	978-1-4612-6415-6 / 9781461264156
Zustand	Neuware