New Trends in Applied Harmonic Analysis, Volume 2

Harmonic Analysis, Geometric Measure Theory, and Applications

  • Akram Aldroubi
  • Carlos Cabrelli
  • Stéphane Jaffard
  • Ursula Molter

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

Table of contents

  1. Front Matter
    Pages i-xx
  2. John J. Benedetto, Katherine Cordwell, Mark Magsino
    Pages 1-43
  3. Víctor Almeida, Jorge J. Betancor, Estefanía Dalmasso, Lourdes Rodríguez-Mesa
    Pages 45-67
  4. Karlheinz Gröchenig, Sarah Koppensteiner
    Pages 93-120
  5. Alex Iosevich
    Pages 121-128
  6. Back Matter
    Pages 317-321

About this book


This contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the University of Buenos Aires in August 2017. These articles highlight recent breakthroughs in both harmonic analysis and geometric measure theory, particularly focusing on their impact on image and signal processing. The wide range of expertise present in these articles will help readers contextualize how these breakthroughs have been instrumental in resolving deep theoretical problems. Some topics covered include:
  • Gabor frames
  • Falconer distance problem
  • Hausdorff dimension
  • Sparse inequalities
  • Fractional Brownian motion
  • Fourier analysis in geometric measure theory
This volume is ideal for applied and pure mathematicians interested in the areas of image and signal processing. Electrical engineers and statisticians studying these fields will also find this to be a valuable resource.


Harmonic Analysis math Harmonic Analysis book Harmonic Analysis trends Applied harmonic analysis Geometric measure theory book Signal processing math Image processing math Ursula Molter mathematics CIMPA Research School CIMPA 2017 school

Editors and affiliations

  • Akram Aldroubi
    • 1
  • Carlos Cabrelli
    • 2
  • Stéphane Jaffard
    • 3
  • Ursula Molter
    • 4
  1. 1.Vanderbilt UniversityNashvilleUSA
  2. 2.Department of Mathematics (FCEyN)Universidad de Buenos AiresBuenos AiresArgentina
  3. 3.Department of Mathematics (LAMA)Université Paris-Est CréteilCreteilFrance
  4. 4.Department of Mathematics (FCEyN)Universidad de Buenos AiresBuenos AiresArgentina

Bibliographic information