New Trends in Applied Harmonic Analysis, Volume 2
Harmonic Analysis, Geometric Measure Theory, and Applications
Editors: Aldroubi, A., Cabrelli, C., Jaffard, S., Molter, U. (Eds.)
Free Preview- Adapts talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications
- Highlights recent breakthroughs in both harmonic analysis and geometric measure theory and how they affect various fields, particularly image and signal processing
- Features articles written by leading experts in their respective areas
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- About this book
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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
- Table of contents (10 chapters)
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CAZAC Sequences and Haagerup’s Characterization of Cyclic N-roots
Pages 1-43
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Hardy Spaces with Variable Exponents
Pages 45-67
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Regularity of Maximal Operators: Recent Progress and Some Open Problems
Pages 69-92
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Gabor Frames: Characterizations and Coarse Structure
Pages 93-120
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On the Approximate Unit Distance Problem
Pages 121-128
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- New Trends in Applied Harmonic Analysis, Volume 2
- Book Subtitle
- Harmonic Analysis, Geometric Measure Theory, and Applications
- Editors
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- Akram Aldroubi
- Carlos Cabrelli
- Stéphane Jaffard
- Ursula Molter
- Series Title
- Applied and Numerical Harmonic Analysis
- Copyright
- 2019
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-32353-0
- DOI
- 10.1007/978-3-030-32353-0
- Hardcover ISBN
- 978-3-030-32352-3
- Softcover ISBN
- 978-3-030-32355-4
- Series ISSN
- 2296-5009
- Edition Number
- 1
- Number of Pages
- XX, 321
- Number of Illustrations
- 25 b/w illustrations, 4 illustrations in colour
- Topics
