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Harmonic and Geometric Analysis

2015-04-28 Mathematics
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Release : 2015-04-28
Genre : Mathematics
Kind : eBook
Book Rating : 083/5 ( reviews)

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Book Synopsis Harmonic and Geometric Analysis by : Giovanna Citti

Download or read book Harmonic and Geometric Analysis written by Giovanna Citti. This book was released on 2015-04-28. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. The second and third series of lectures cover some of the main topics on linear and multilinear harmonic analysis. The last one is a clear introduction to a deep result of De Giorgi, Moser and Nash on regularity of elliptic partial differential equations in divergence form.

New Trends in Applied Harmonic Analysis, Volume 2

2019-11-26 Mathematics
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Release : 2019-11-26
Genre : Mathematics
Kind : eBook
Book Rating : 536/5 ( reviews)

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Book Synopsis New Trends in Applied Harmonic Analysis, Volume 2 by : Akram Aldroubi

Download or read book New Trends in Applied Harmonic Analysis, Volume 2 written by Akram Aldroubi. This book was released on 2019-11-26. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Applications

2020-12-14 Education
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Release : 2020-12-14
Genre : Education
Kind : eBook
Book Rating : 277/5 ( reviews)

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Book Synopsis Harmonic Analysis and Applications by : Carlos E. Kenig

Download or read book Harmonic Analysis and Applications written by Carlos E. Kenig. This book was released on 2020-12-14. Available in PDF, EPUB and Kindle. Book excerpt: The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.

Geometric Analysis and Function Spaces

1993-01-01 Mathematics
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Release : 1993-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 251/5 ( reviews)

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Book Synopsis Geometric Analysis and Function Spaces by : Steven George Krantz

Download or read book Geometric Analysis and Function Spaces written by Steven George Krantz. This book was released on 1993-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.

Geometric Aspects of Harmonic Analysis

2021-09-27 Mathematics
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Release : 2021-09-27
Genre : Mathematics
Kind : eBook
Book Rating : 586/5 ( reviews)

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Book Synopsis Geometric Aspects of Harmonic Analysis by : Paolo Ciatti

Download or read book Geometric Aspects of Harmonic Analysis written by Paolo Ciatti. This book was released on 2021-09-27. Available in PDF, EPUB and Kindle. Book excerpt: This volume originated in talks given in Cortona at the conference "Geometric aspects of harmonic analysis" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas. The subjects dealt with are topics of current interest in closely interrelated areas of Fourier analysis, singular integral operators, oscillatory integral operators, partial differential equations, multilinear harmonic analysis, and several complex variables. The work is addressed to researchers in the field.

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