Excursions in Harmonic Analysis, Volume 2

The February Fourier Talks at the Norbert Wiener Center

ISBN: 978-0-8176-8378-8 (Print) 978-0-8176-8379-5 (Online)

Table of contents (21 chapters)

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  1. Front Matter

    Pages i-xix

  2. Measure Theory

    1. Front Matter

      Pages 1-3

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      Chapter

      Pages 5-10

      Absolute Continuity and Singularity of Measures Without Measure Theory

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      Chapter

      Pages 11-21

      Visible and Invisible Cantor Sets

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      Chapter

      Pages 23-47

      Convolution Inequalities for Positive Borel Measures on \(\mathbb{R}^d\) and Beurling Density

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      Chapter

      Pages 49-64

      Positive-Operator-Valued Measures: A General Setting for Frames

  3. Filtering

    1. Front Matter

      Pages 65-67

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      Chapter

      Pages 69-111

      Extending Wavelet Filters: Infinite Dimensions, the Nonrational Case, and Indefinite Inner Product Spaces

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      Chapter

      Pages 113-135

      On the Group-Theoretic Structure of Lifted Filter Banks

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      Chapter

      Pages 137-155

      Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces

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      Chapter

      Pages 157-172

      On the Convergence of Iterative Filtering Empirical Mode Decomposition

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      Chapter

      Pages 173-192

      Wavelet Transforms by Nearest Neighbor Lifting

  4. Operator Theory

    1. Front Matter

      Pages 193-195

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      Chapter

      Pages 197-209

      On the Heat Kernel of a Left Invariant Elliptic Operator

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      Chapter

      Pages 211-228

      Mixed-Norm Estimates for the k-Plane Transform

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      Chapter

      Pages 229-250

      Representation of Linear Operators by Gabor Multipliers

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      Chapter

      Pages 251-266

      Extension of Berezin–Lieb Inequalities

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      Chapter

      Pages 267-280

      Bilinear Calderón–Zygmund Operators

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      Chapter

      Pages 281-306

      Weighted Inequalities and Dyadic Harmonic Analysis

  5. Biomathematics

    1. Front Matter

      Pages 307-309

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      Chapter

      Pages 311-332

      Enhancement and Recovery in Atomic Force Microscopy Images

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      Chapter

      Pages 333-353

      Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group

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      Chapter

      Pages 355-371

      Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular Degeneration

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      Chapter

      Pages 373-399

      Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE)

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      Chapter

      Pages 401-421

      Fourier Blues: Structural Coloration of Biological Tissues

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