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New Trends in Applied Harmonic Analysis, Volume 2
Harmonic Analysis, Geometric Measure Theory, and Applications
Akram Aldroubi , Carlos Cabrelli , Stéphane Jaffard , 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
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