Stéphane Jaffard

Akram Aldroubi

Carlos Cabrelli

Ursula Molter

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, Geometric Measure Theory, and Applications

New Trends in Applied Harmonic Analysis, Volume 2

Patrick Flandrin

Thierry Paul

Bruno Torresani

Alex Grossmann (1930-2019) carried out pioneering work on wavelet analysis with Jean Morlet, demonstrating its applicability to signal processing. Grossmann subsequently made significant contributions to mathematics, physics, computer science, and biology. This contributed volume features chapters written by collaborators of Grossmann and researchers whom he influenced in a decisive way. Just as Grossmann's work spanned numerous subjects, so do the chapters here, with a focus on theoretical physics, wavelets and mathematical analysis, and theoretical biology and genetics. Serving as an introduction to the volume are a scientific biography of Grossmann, as well as a more personal biography written by his son. Readers from any of the fields on which Grossmann had an impact will find this an insightful and informative work.

An Indisciplinary Tribute to Alex Grossmann

Theoretical Physics, Wavelets, Analysis, Genomics

Stéphane Jaffard

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