Wavelet Theory

I. Ya. Novikov, V. Yu. Protasov, Maria A. Skopina (Autoren)

Buch | Hardcover

506 Seiten

2011
American Mathematical Society (Verlag)
9780821849842 (ISBN)

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Provides a systematic exposition of modern wavelet theory. It details the construction of orthogonal and biorthogonal systems of wavelets and studies their structural and approximation properties, starting with basic theory and ending with special topics and problems. It also presents some applications of wavelets.

Wavelet theory lies on the crossroad of pure and computational mathematics, with connections to audio and video signal processing, data compression, and information transmission. The present book is devoted to a systematic exposition of modern wavelet theory. It details the construction of orthogonal and biorthogonal systems of wavelets and studies their structural and approximation properties, starting with basic theory and ending with special topics and problems. The book also presents some applications of wavelets. Historical commentary is supplied for each chapter in the book, and most chapters contain exercises. The book is intended for professional mathematicians and graduate students working in functional analysis and approximation theory. It is also useful for engineers applying wavelet theory in their work. Prerequisites for reading the book consist of graduate courses in real and functional analysis.

I. Ya. Novikov, Voronezh State University, Voronezh, Russia V. Yu. Protasov Moscow State University, Moscow, Russia M. A. Skopina, St. Petersburg University, St. Petersburg, Russia

Preface
Wavelets on the line
Multivariate wavelets
Compactly supported refinable functions
Wavelets with compact support
Fractal properties of wavelets
Factorization of refinement equations
Smoothness of compactly supported wavelets
Nonstationary wavelets
Periodic wavelets
Approximation by periodic wavelets
Remarkable properties of wavelet bases
Auxiliary facts of the theory of functions and functional analysis
Historical comments
Bibliography
Index

Erscheint lt. Verlag	28.2.2012
Reihe/Serie	Translations of Mathematical Monographs
Verlagsort	Providence
Sprache	englisch
Gewicht	1066 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-13	9780821849842 / 9780821849842
Zustand	Neuware