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Excursions in Harmonic Analysis, Volume 6

In Honor of John Benedetto’s 80th Birthday

  • Book
  • © 2021

Overview

Editors:
  1. Matthew Hirn

    1. Department of Computational Mathematics, Science & Engineering, Michigan State University, East Lansing, USA

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  2. Shidong Li

    1. Department of Mathematics, San Francisco State University, San Francisco, USA

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  3. Kasso A. Okoudjou

    1. Department of Mathematics, Tufts University, Medford, USA

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  4. Sandra Saliani

    1. Department of Mathematics, Computer Science and Economics, University of Basilicata, Potenza, Italy

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  5. Özgür Yilmaz

    1. Department of Mathematics, University of British Columbia, Vancouver, Canada

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  • Celebrates John J. Benedetto’s lasting impact on harmonic analysis and its applications
  • Covers a wide range of topics related to this field, illustrating the breadth of influence that Benedetto has had
  • Serves as a valuable resource and reference on harmonic analysis with chapters written by prominent and leading scholars in the area

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

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xxii
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  2. Part I

    1. Front Matter

      Pages 1-1
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    2. John Benedetto’s Mathematical Work

      • David Joyner
      Pages 3-23

  3. Part II

    1. Front Matter

      Pages 25-25
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    2. Absolute Continuity and the Banach–Zaretsky Theorem

      • Christopher Heil
      Pages 27-51

    3. Spectral Synthesis and \(H^1(\mathbb {R})\)

      • Raymond Johnson
      Pages 53-57

    4. Universal Upper Bound on the Blowup Rate of Nonlinear Schrödinger Equation with Rotation

      • Yi Hu, Christopher Leonard, Shijun Zheng
      Pages 59-76

    5. Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators

      • Thomas Strohmer, Timothy Wertz
      Pages 77-96

    6. Spatio–Spectral Limiting on Redundant Cubes: A Case Study

      • Jeffrey A. Hogan, Joseph D. Lakey
      Pages 97-115

  4. Part III

    1. Front Matter

      Pages 117-117
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    2. A Notion of Optimal Packings of Subspaces with Mixed-Rank and Solutions

      • Peter G. Casazza, Joshua Stueck, Tin T. Tran
      Pages 119-144

    3. Construction of Frames Using Calderón–Zygmund Operator Theory

      • Der-Chen Chang, Yongsheng Han, Xinfeng Wu
      Pages 145-162

    4. Equiangular Frames and Their Duals

      • Somantika Datta
      Pages 163-183

    5. Wavelet Sets for Crystallographic Groups

      • Kathy D. Merrill
      Pages 185-198

    6. Discrete Translates in Function Spaces

      • Alexander Olevskii, Alexander Ulanovskii
      Pages 199-208

  5. Part IV

    1. Front Matter

      Pages 209-210
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    2. Local-to-Global Frames and Applications to the Dynamical Sampling Problem

      • Akram Aldroubi, Carlos Cabrelli, Ursula Molter, Armenak Petrosyan
      Pages 211-220

    3. Signal Analysis Using Born–Jordan-Type Distributions

      • Elena Cordero, Maurice de Gosson, Monika Dörfler, Fabio Nicola
      Pages 221-241

    4. Sampling by Averages and Average Splines on Dirichlet Spaces and on Combinatorial Graphs

      • Isaac Z. Pesenson
      Pages 243-268

    5. Dynamical Sampling: A View from Control Theory

      • Rocío Díaz Martín, Ivan Medri, Ursula Molter
      Pages 269-295
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Keywords

About this book

John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by leading researchers in the field and pay tribute to John’s many significant and lasting achievements. Covering a wide range of topics in harmonic analysis and related areas, these chapters are organized into four main parts: harmonic analysis, wavelets and frames, sampling and signal processing, and compressed sensing and optimization. An introductory chapter also provides a brief overview of John’s life and mathematical career. This volume will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Editors and Affiliations

  • Department of Computational Mathematics, Science & Engineering, Michigan State University, East Lansing, USA

    Matthew Hirn

  • Department of Mathematics, San Francisco State University, San Francisco, USA

    Shidong Li

  • Department of Mathematics, Tufts University, Medford, USA

    Kasso A. Okoudjou

  • Department of Mathematics, Computer Science and Economics, University of Basilicata, Potenza, Italy

    Sandra Saliani

  • Department of Mathematics, University of British Columbia, Vancouver, Canada

    Özgür Yilmaz

Bibliographic Information

  • Book Title: Excursions in Harmonic Analysis, Volume 6

  • Book Subtitle: In Honor of John Benedetto’s 80th Birthday

  • Editors: Matthew Hirn, Shidong Li, Kasso A. Okoudjou, Sandra Saliani, Özgür Yilmaz

  • Series Title: Applied and Numerical Harmonic Analysis

  • DOI: https://doi.org/10.1007/978-3-030-69637-5

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-69636-8Published: 02 September 2021

  • Softcover ISBN: 978-3-030-69639-9Published: 03 September 2022

  • eBook ISBN: 978-3-030-69637-5Published: 01 September 2021

  • Series ISSN: 2296-5009

  • Series E-ISSN: 2296-5017

  • Edition Number: 1

  • Number of Pages: XXII, 440

  • Number of Illustrations: 18 b/w illustrations, 35 illustrations in colour

  • Topics: Functional Analysis, Fourier Analysis, Abstract Harmonic Analysis

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