Wavelet Analysis and Applications

Editors:

ISBN: 978-3-7643-7777-9 (Print) 978-3-7643-7778-6 (Online)

Table of contents (41 chapters)

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  1. Front Matter

    Pages i-xiv

  2. Wavelet Theory

    1. Front Matter

      Pages 1-1

    2. Approximation and Fourier Analysis

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        Pages 3-11

        Local Smoothness Conditions on a Function Which Guarantee Convergence of Double Walsh-Fourier Series of This Function

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        Pages 13-24

        Linear Transformations of ℝN and Problems of Convergence of Fourier Series of Functions Which Equal Zero on Some Set

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        Pages 25-33

        Sidon Type Inequalities for Wavelets

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        Pages 35-42

        Almansi Decomposition for Dunkl-Helmholtz Operators

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        Pages 43-46

        An Uncertainty Principle for Operators

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        Pages 47-56

        Uncertainty Principle for Clifford Geometric Algebras Cl n,0, n = 3 (mod 4) Based on Clifford Fourier Transform

      Construction of Wavelets and Frame Theory

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        Pages 59-66

        Orthogonal Wavelet Vectors in a Hilbert Space

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        Pages 67-82

        Operator Frames for \( B(\mathcal{H}) \)

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        Pages 83-90

        On the Stability of Multi-wavelet Frames

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        Pages 91-98

        Biorthogonal Wavelets Associated with Two-Dimensional Interpolatory Function

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        Pages 99-106

        Parameterization of Orthogonal Filter Bank with Linear Phase

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        Pages 107-121

        On Multivariate Wavelets with Trigonometric Vanishing Moments

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        Pages 123-142

        Directional Wavelet Analysis with Fourier-Type Bases for Image Processing

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        Pages 143-171

        Unitary Systems and Wavelet Sets

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        Pages 173-184

        Clifford Analysis and the Continuous Spherical Wavelet Transform

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        Pages 185-198

        Clifford-Jacobi Polynomials and the Associated Continuous Wavelet Transform in Euclidean Space

      Fractal and Multifractal Theory, Wavelet Algorithm, Wavelet in Numerical Analysis

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        Pages 201-246

        Wavelet Leaders in Multifractal Analysis

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        Pages 247-254

        Application of Fast Wavelet Transformation in Parametric System Identification

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        Pages 255-261

        Image Denoising by a Novel Digital Curvelet Reconstruction Algorithm

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        Book Chapter

        Pages 263-271

        Condition Number for Under-Determined Toeplitz Systems

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