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Excursions in Harmonic Analysis, Volume 5

The February Fourier Talks at the Norbert Wiener Center

  • Book
  • © 2017

Overview

Editors:
  1. Radu Balan

    1. Norbert Wiener Center, University of Maryland, College Park, USA

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  2. John J. Benedetto

    1. Norbert Wiener Center, University of Maryland, College Park, USA

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  3. Wojciech Czaja

    1. Norbert Wiener Center, University of Maryland, College Park, USA

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  4. Matthew Dellatorre

    1. Norbert Wiener Center, University of Maryland, College Park, USA

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  5. Kasso A. Okoudjou

    1. Norbert Wiener Center, University of Maryland, College Park, USA

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  • Presents state-of-the-art results in theoretical harmonic analysis, image and signal processing, quantization, algorithms and representations
  • Written and reviewed by the leading experts in the field
  • Selected from over ten years of annual talks at the Norbert Wiener Center
  • Includes supplementary material: sn.pub/extras

Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Theoretical Harmonic Analysis

    1. Front Matter

      Pages 1-1
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    2. Time-Frequency Analysis and Representations of the Discrete Heisenberg Group

      • Gerald B. Folland
      Pages 3-16

    3. Fractional Differentiation: Leibniz Meets Hölder

      • Loukas Grafakos
      Pages 17-33

    4. Wavelets and Graph C ∗-Algebras

      • Carla Farsi, Elizabeth Gillaspy, Sooran Kang, Judith Packer
      Pages 35-86

  3. Image and Signal Processing

    1. Front Matter

      Pages 87-88
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    2. Precise State Tracking Using Three-Dimensional Edge Detection

      • David A. Schug, Glenn R. Easley, Dianne P. O’Leary
      Pages 89-111

    3. Approaches for Characterizing Nonlinear Mixtures in Hyperspectral Imagery

      • Robert S. Rand, Ronald G. Resmini, David W. Allen
      Pages 113-128

    4. An Application of Spectral Regularization to Machine Learning and Cancer Classification

      • Mark Kon, Louise A. Raphael
      Pages 129-152

  4. Quantization

    1. Front Matter

      Pages 153-154
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    2. Embedding-Based Representation of Signal Geometry

      • Petros T. Boufounos, Shantanu Rane, Hassan Mansour
      Pages 155-178

    3. Distributed Noise-Shaping Quantization: II. Classical Frames

      • Evan Chou, C. Sinan Güntürk
      Pages 179-198

    4. Consistent Reconstruction: Error Moments and Sampling Distributions

      • Chang-Hsin Lee, Alexander M. Powell, J. Tyler Whitehouse
      Pages 199-221

  5. Algorithms and Representations

    1. Front Matter

      Pages 223-223
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    2. Frame Theory for Signal Processing in Psychoacoustics

      • Peter Balazs, Nicki Holighaus, Thibaud Necciari, Diana Stoeva
      Pages 225-268

    3. A Flexible Scheme for Constructing (Quasi-)Invariant Signal Representations

      • Jan Ernst
      Pages 269-302

    4. Use of Quillen-Suslin Theorem for Laurent Polynomials in Wavelet Filter Bank Design

      • Youngmi Hur
      Pages 303-313

    5. A Fast Fourier Transform for Fractal Approximations

      • Calvin Hotchkiss, Eric S. Weber
      Pages 315-329

  6. Back Matter

    Pages 331-338
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Keywords

About this book

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include:

  • Theoretical harmonic analysis
  • Image and signal processing
  • Quantization
  • Algorithms and representations

The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Editors and Affiliations

  • Norbert Wiener Center, University of Maryland, College Park, USA

    Radu Balan, John J. Benedetto, Wojciech Czaja, Matthew Dellatorre, Kasso A. Okoudjou

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