New Trends in Applied Harmonic Analysis, Volume 2 : Harmonic Analysis, Geometric Measure Theory, and Applications

2019 ed.

Book Details

Format Hardback or Cased Book

Book Series Applied and Numerical Harmonic Analysis

ISBN-10 3030323528

ISBN-13 9783030323523

Edition 2019 ed.

Publisher Springer Nature Switzerland AG

Imprint Springer Nature Switzerland AG

Country of Manufacture GB

Country of Publication GB

Publication Date Dec 6th, 2019

Print length 321 Pages

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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.

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