Fourier Analysis and Convexity - 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 Fourier Analysis and Convexity write by Luca Brandolini. This book was released on 2011-04-27. Fourier Analysis and Convexity available 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
Fourier Analysis in Convex Geometry
Fourier Analysis in Convex Geometry - 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 Fourier Analysis in Convex Geometry write by Alexander Koldobsky. This book was released on 2014-11-12. Fourier Analysis in Convex Geometry available 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.
Fourier Analysis and Convexity
Fourier Analysis and Convexity - 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 Fourier Analysis and Convexity write by Birkhauser Verlag AG. This book was released on 2005. Fourier Analysis and Convexity available in PDF, EPUB and Kindle.
Harmonic Analysis and Convexity
Harmonic Analysis and Convexity - 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 Convexity write by Alexander Koldobsky. This book was released on 2023-07-24. Harmonic Analysis and Convexity available 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
The Interface Between Convex Geometry and 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 The Interface Between Convex Geometry and Harmonic Analysis write by Alexander Koldobsky. This book was released on . The Interface Between Convex Geometry and Harmonic Analysis available 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.
