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Excursions in Harmonic Analysis, Volume 2

The February Fourier Talks at the Norbert Wiener Center

  • Book
  • © 2013

Overview

Editors:
  1. Travis D. Andrews

    1. , Department of Mathematics, University of Maryland, College Park, USA

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  2. Radu Balan

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

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  3. John J. Benedetto

    1. Department of Mathematics, University of Maryland, College Park, USA

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  4. Wojciech Czaja

    1. Department of Mathematics, University of Maryland, College Park, USA

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  5. Kasso A. Okoudjou

    1. , Department of Mathematics, University of Maryland, College Park, USA

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  • Presents a wealth of cutting-edge research selected over six years of annual talks
  • Draws on contributions from a wide range of practicioners and researchers in academia, industry, and government
  • Offers new avenues for exploration in harmonic analysis and its applications
  • Unparalleled in breadth and depth of topics covered
  • Includes supplementary material: sn.pub/extras

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

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About this book

The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.

This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts:

Volume I

·         Sampling Theory

·         Remote Sensing

·         Mathematics of Data Processing

·         Applications of Data Processing

Volume II

·         Measure Theory

·         Filtering

·         Operator Theory

·         Biomathematics

Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government.

Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xix
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  2. Measure Theory

    1. Front Matter

      Pages 1-3
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  3. Measure Theory

    1. Absolute Continuity and Singularity of Measures Without Measure Theory

      • R. B. Burckel
      Pages 5-10

    2. Visible and Invisible Cantor Sets

      • Carlos Cabrelli, Udayan B. Darji, Ursula Molter
      Pages 11-21

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

      • Jean-Pierre Gabardo
      Pages 23-47

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

      • Bill Moran, Stephen Howard, Doug Cochran
      Pages 49-64

  4. Filtering

    1. Front Matter

      Pages 65-67
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  6. Operator Theory

    1. Front Matter

      Pages 193-195
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    2. On the Heat Kernel of a Left Invariant Elliptic Operator

      • Ovidiu Calin, Der-Chen Chang, Yutian Li
      Pages 197-209

    3. Mixed-Norm Estimates for the k-Plane Transform

      • Javier Duoandikoetxea, Virginia Naibo
      Pages 211-228

    4. Representation of Linear Operators by Gabor Multipliers

      • Peter C. Gibson, Michael P. Lamoureux, Gary F. Margrave
      Pages 229-250

    5. Extension of Berezin–Lieb Inequalities

      • John R. Klauder, Bo-Sture K. Skagerstam
      Pages 251-266

    6. Bilinear Calderón–Zygmund Operators

      • Diego Maldonado
      Pages 267-280

    7. Weighted Inequalities and Dyadic Harmonic Analysis

      • María Cristina Pereyra
      Pages 281-306

  7. Biomathematics

    1. Front Matter

      Pages 307-309
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Editors and Affiliations

  • , Department of Mathematics, University of Maryland, College Park, USA

    Travis D. Andrews, Kasso A. Okoudjou

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

    Radu Balan

  • Department of Mathematics, University of Maryland, College Park, USA

    John J. Benedetto, Wojciech Czaja

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