Harmonic Analysis And Convexity
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Harmonic Analysis and Convexity
Author | : Alexander Koldobsky,Alexander Volberg |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 480 |
Release | : 2023-07-24 |
Genre | : Mathematics |
ISBN | : 9783110775389 |
Download Harmonic Analysis and Convexity Book in PDF, Epub and Kindle
In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.
The Interface Between Convex Geometry and Harmonic Analysis
Author | : Alexander Koldobsky,Vladyslav Yaskin |
Publsiher | : American Mathematical Soc. |
Total Pages | : 128 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 0821883356 |
Download The Interface Between Convex Geometry and Harmonic Analysis Book in PDF, Epub and Kindle
"The book is written in the form of lectures accessible to graduate students. This approach allows the reader to clearly see the main ideas behind the method, rather than to dwell on technical difficulties. The book also contains discussions of the most recent advances in the subject. The first section of each lecture is a snapshot of that lecture. By reading each of these sections first, novices can gain an overview of the subject, then return to the full text for more details."--BOOK JACKET.
Fourier Analysis and Convexity
Author | : Luca Brandolini,Leonardo Colzani,Alex Iosevich,Giancarlo Travaglini |
Publsiher | : Springer Science & Business Media |
Total Pages | : 268 |
Release | : 2011-04-27 |
Genre | : Mathematics |
ISBN | : 9780817681722 |
Download Fourier Analysis and Convexity Book in PDF, Epub and Kindle
Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances Presents new results and applications to diverse fields such as geometry, number theory, and analysis Contributors are leading experts in their respective fields Will be of interest to both pure and applied mathematicians
Harmonic Analysis and Convexity
Author | : Alexander Koldobsky,Alexander Volberg |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 608 |
Release | : 2023-07-24 |
Genre | : Mathematics |
ISBN | : 9783110775433 |
Download Harmonic Analysis and Convexity Book in PDF, Epub and Kindle
In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.
Analytic Aspects of Convexity
Author | : Gabriele Bianchi,Andrea Colesanti,Paolo Gronchi |
Publsiher | : Springer |
Total Pages | : 120 |
Release | : 2018-02-28 |
Genre | : Mathematics |
ISBN | : 9783319718347 |
Download Analytic Aspects of Convexity Book in PDF, Epub and Kindle
This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a broad readership, from those involved in Convex Geometry, to those focusing on Functional Analysis, Harmonic Analysis, Differential Geometry, or PDEs. The book is a addressed to PhD students and researchers, interested in Convex Geometry and its links to analysis.
Fourier Analysis in Convex Geometry
![Fourier Analysis in Convex Geometry](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Alexander Koldobsky |
Publsiher | : Unknown |
Total Pages | : 178 |
Release | : 2014-05-21 |
Genre | : MATHEMATICS |
ISBN | : 1470413434 |
Download Fourier Analysis in Convex Geometry Book in PDF, Epub and Kindle
Discusses Fourier analysis approach. This book expresses certain geometric properties of bodies in terms of Fourier analysis and uses harmonic analysis methods to solve geometric problems. It is suitable for graduate students and researchers interested in geometry, harmonic and functional analysis, and probability.
Fourier Analysis in Convex Geometry
Author | : Alexander Koldobsky |
Publsiher | : American Mathematical Soc. |
Total Pages | : 178 |
Release | : 2014-11-12 |
Genre | : Mathematics |
ISBN | : 9781470419523 |
Download Fourier Analysis in Convex Geometry Book in PDF, Epub and Kindle
The study of the geometry of convex bodies based on information about sections and projections of these bodies has important applications in many areas of mathematics and science. In this book, a new Fourier analysis approach is discussed. The idea is to express certain geometric properties of bodies in terms of Fourier analysis and to use harmonic analysis methods to solve geometric problems. One of the results discussed in the book is Ball's theorem, establishing the exact upper bound for the -dimensional volume of hyperplane sections of the -dimensional unit cube (it is for each ). Another is the Busemann-Petty problem: if and are two convex origin-symmetric -dimensional bodies and the -dimensional volume of each central hyperplane section of is less than the -dimensional volume of the corresponding section of , is it true that the -dimensional volume of is less than the volume of ? (The answer is positive for and negative for .) The book is suitable for graduate students and researchers interested in geometry, harmonic and functional analysis, and probability. Prerequisites for reading this book include basic real, complex, and functional analysis.
Locally Convex Spaces and Harmonic Analysis An Introduction
Author | : Philippe G. Ciarlet |
Publsiher | : SIAM |
Total Pages | : 203 |
Release | : 2021-08-10 |
Genre | : Mathematics |
ISBN | : 9781611976656 |
Download Locally Convex Spaces and Harmonic Analysis An Introduction Book in PDF, Epub and Kindle
This self-contained textbook covers the fundamentals of two basic topics of linear functional analysis: locally convex spaces and harmonic analysis. Readers will find detailed introductions to topological vector spaces, distribution theory, weak topologies, the Fourier transform, the Hilbert transform, and Calderón–Zygmund singular integrals. An ideal introduction to more advanced texts, the book complements Ciarlet’s Linear and Nonlinear Functional Analysis with Applications (SIAM), in which these two topics were not treated. Pedagogical features such as detailed proofs and 93 problems make the book ideal for a one-semester first-year graduate course or for self-study. The book is intended for advanced undergraduates and first-year graduate students and researchers. It is appropriate for courses on functional analysis, distribution theory, Fourier transform, and harmonic analysis.