Excursions in Harmonic Analysis, Volume 1

The February Fourier Talks at the Norbert Wiener Center

ISBN: 978-0-8176-8375-7 (Print) 978-0-8176-8376-4 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages i-xviii

  2. Sampling Theory

    1. Front Matter

      Pages 1-3

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      Chapter

      Pages 5-18

      Unions of Subspaces for Data Modeling and Subspace Clustering

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      Chapter

      Pages 19-34

      Fusion Frames and Unbiased Basic Sequences

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      Chapter

      Pages 35-69

      Sampling in Spaces of Bandlimited Functions on Commutative Spaces

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      Chapter

      Pages 71-84

      Smooth Interpolation of Data by Efficient Algorithms

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      Chapter

      Pages 85-106

      An Overview of Time and Multiband Limiting

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      Chapter

      Pages 107-123

      A Panorama of Sampling Theory

  3. Remote Sensing

    1. Front Matter

      Pages 125-127

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      Chapter

      Pages 129-149

      Multistatic Radar Waveforms for Imaging of Moving Targets

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      Chapter

      Pages 151-171

      Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer

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      Chapter

      Pages 173-194

      An Introduction to Hyperspectral Image Data Modeling

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      Chapter

      Pages 195-210

      Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers

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      Chapter

      Pages 211-236

      Theory of Passive Synthetic Aperture Imaging

  4. Mathematics of Data Processing

    1. Front Matter

      Pages 237-238

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      Chapter

      Pages 239-257

      Golay–Rudin–Shapiro Polynomials and Phased Arrays

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      Chapter

      Pages 259-285

      Multi-Resolution Geometric Analysis for Data in High Dimensions

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      Chapter

      Pages 287-296

      On the Fourth-Order Structure Function of a Fractal Process

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      Chapter

      Pages 297-310

      Harmonic Analysis of Databases and Matrices

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      Chapter

      Pages 311-328

      The Structure of Sidelobe-Preserving Operator Groups

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      Chapter

      Pages 329-348

      Zeros of Some Self-Reciprocal Polynomials

  5. Applications of Data Processing

    1. Front Matter

      Pages 349-351

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      Chapter

      Pages 353-375

      Generalized Mutual Interdependence Analysis of Noisy Channels

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      Chapter

      Pages 377-398

      Approximation Methods for the Recovery of Shapes and Images from Gradients

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      Chapter

      Pages 399-431

      FM Perturbations due to Near-Identity Linear Systems

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