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Wavelet Theory
 
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

Translated by Evgenia Sorokina

Wavelet Theory
Hardcover ISBN:  978-0-8218-4984-2
Product Code:  MMONO/239
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-1625-6
Product Code:  MMONO/239.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4984-2
eBook: ISBN:  978-1-4704-1625-6
Product Code:  MMONO/239.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Wavelet Theory
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Wavelet Theory
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

Translated by Evgenia Sorokina

Hardcover ISBN:  978-0-8218-4984-2
Product Code:  MMONO/239
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-1625-6
Product Code:  MMONO/239.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4984-2
eBook ISBN:  978-1-4704-1625-6
Product Code:  MMONO/239.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 2392011; 506 pp
    MSC: Primary 42;

    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.

    Readership

    Graduate students and research mathematicians interested in wavelet theory.

  • Table of Contents
     
     
    • Chapters
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2392011; 506 pp
MSC: Primary 42;

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.

Readership

Graduate students and research mathematicians interested in wavelet theory.

  • Chapters
  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.