Geometric Aspects of Harmonic Analysis

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

Geometric Aspects of Harmonic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Aspects of Harmonic Analysis write by Paolo Ciatti. This book was released on 2021-09-27. Geometric Aspects of Harmonic Analysis available in PDF, EPUB and Kindle. 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.

New Trends in Applied Harmonic Analysis, Volume 2

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

New Trends in Applied Harmonic Analysis, Volume 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Trends in Applied Harmonic Analysis, Volume 2 write by Akram Aldroubi. This book was released on 2019-11-26. New Trends in Applied Harmonic Analysis, Volume 2 available in PDF, EPUB and Kindle. 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.

Geometric and Harmonic Analysis on Homogeneous Spaces

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Release : 2019-08-31
Genre : Mathematics
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Book Rating : 625/5 ( reviews)

Geometric and Harmonic Analysis on Homogeneous Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric and Harmonic Analysis on Homogeneous Spaces write by Ali Baklouti. This book was released on 2019-08-31. Geometric and Harmonic Analysis on Homogeneous Spaces available in PDF, EPUB and Kindle. This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups. All were originally presented at the 5th Tunisian–Japanese conference “Geometric and Harmonic Analysis on Homogeneous Spaces and Applications”, which was held at Mahdia in Tunisia from 17 to 21 December 2017 and was dedicated to the memory of the brilliant Tunisian mathematician Majdi Ben Halima. The peer-reviewed contributions selected for publication have been modified and are, without exception, of a standard equivalent to that in leading mathematical periodicals. Highlighting the close links between group representation theory and harmonic analysis on homogeneous spaces and numerous mathematical areas, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations.

Harmonic Analysis and Special Functions on Symmetric Spaces

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Release : 1995-02-08
Genre : Mathematics
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Book Rating : 299/5 ( reviews)

Harmonic Analysis and Special Functions on Symmetric Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis and Special Functions on Symmetric Spaces write by Gerrit Heckman. This book was released on 1995-02-08. Harmonic Analysis and Special Functions on Symmetric Spaces available in PDF, EPUB and Kindle. The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent developments in group theory. The authors provide students and researchers with a thorough and thoughtful overview, elaborating on the topic with clear statements of definitions and theorems and augmenting these withtime-saving examples. An extensive set of notes supplements the text.Heckman and Schlichtkrull extend the ideas of harmonic analysis on semisimple symmetric spaces to embrace the theory of hypergeometric and spherical functions and show that the K-variant Eisenstein integrals for G/H are hypergeometric functions under this theory. They lead readers from the fundamentals of semisimple symmetric spaces of G/H to the frontier, including generalization, to the Riemannian case. This volume will interest harmonic analysts, those working on or applying the theory of symmetric spaces; it will also appeal to those with an interest in special functions.Extends ideas of harmonic analysis on symmetric spacesFirst treatment of the theory to include hypergeometric and spherical functionsLinks algebraic, analytic, and geometric methods

Representation Theory and Noncommutative Harmonic Analysis II

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 567/5 ( reviews)

Representation Theory and Noncommutative Harmonic Analysis II - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representation Theory and Noncommutative Harmonic Analysis II write by A.A. Kirillov. This book was released on 2013-03-09. Representation Theory and Noncommutative Harmonic Analysis II available in PDF, EPUB and Kindle. Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.