Multivariate wavelet frames

Multivariate wavelet frames

by Skopina, M. A., (Marii︠a︡ Aleksandrovna)

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Title Statements

  • Full title :Multivariate wavelet frames / by Maria Skopina, Aleksandr Krivoshein, Vladimir Protasov.

Edition Statements

  • Publication Date:2017

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Singapore
  • Language:eng
  • Publication Date:2017

The Physical Object

  • Description:1 ressource en ligne

Edition Identifiers

  • ISBN:9789811032059, 981103205X
  • oclc:on1132075061
  • LC Classification:QA403.3
  • Dewey Decimal:515/.2433

Table of Contents

Preface; Contents; About the Authors; Basic Notation; 1 Bases and Frames in Hilbert Spaces; 1.1 Riesz Bases; 1.2 Frames ; 2 MRA-Based Wavelet Bases and Frames; 2.1 Dilation Matrix; 2.2 Shift-Invariant Systems and Bracket Product; 2.3 Multiresolution Analysis; 2.4 MRA-Based Wavelets and Matrix Extension Principle; 2.5 Matrix Extension Problem; 2.6 Refinable Functions; 2.7 Conditions of Biorthogonality; References; 3 Construction of Wavelet Frames Generated by MEP; 3.1 Sufficient Frame Conditions; 3.2 Approximation Order and Vanishing Moments; 3.3 Polyphase Characterization of Vanishing Moments

3.4 Construction of Compactly Supported Frames3.5 Examples; References; 4 Frame-Like Wavelet Expansions; 4.1 Dual Frame-Like Systems; 4.2 Scaling Expansions; 4.3 Wavelet Expansions; 4.4 Examples; References; 5 Symmetric Wavelets; 5.1 Symmetric Refinable Masks; 5.2 Interpolatory Symmetric Wavelets; 5.3 Symmetric Frame-Like Wavelets and Dual Wavelet Frames; 5.4 Examples; References; 6 Smoothness of Wavelets; 6.1 Tiles, Self-similar Tilings, and Supports of Refinable Functions; 6.2 The Matrix Method of Computing the Hölder Regularity; 6.3 Special Cases and Examples

6.4 Construction of the Cont…

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Subjects

Analyse multivariée multivariate analysis Ondelettes Wavelets (Mathematics)

Writers

Skopina, M. A., (Marii︠a︡ Aleksandrovna) Krivoshein, Aleksandr Protasov, V. I︠U︡., (Vladimir I︠U︡rʹevich)

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