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OverviewWavelet 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. Full Product DetailsAuthor: I. Ya. Novikov , V. Yu. Protasov , Maria A. SkopinaPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 239 Weight: 1.066kg ISBN: 9780821849842ISBN 10: 0821849840 Pages: 506 Publication Date: 28 February 2012 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable ![]() The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsPreface 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 IndexReviewsAuthor InformationI. Ya. Novikov, Voronezh State University, Voronezh, Russia V. Yu. Protasov Moscow State University, Moscow, Russia M. A. Skopina, St. Petersburg University, St. Petersburg, Russia Tab Content 6Author Website:Countries AvailableAll regions |