Fourier Analysis In Convex Geometry (Mathematical Surveys and Monographs)
Publisher: American Mathematical Society
Published: May 1, 2005
Language: eng
Format: Hardcover
Number of pages: 170
ISBN-13: 9780821837870
Subjects: Algebraic geometry; Calculus & mathematical analysis; Science/Mathematics; General; Mathematics; Geometry - General; Fourier transformations; Banach spaces; Convex sets
First sentence: The study of the geometry of convex bodies based on information about sections and projections of these bodies has important applications to many areas of mathematics and science.
Description: "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." "The book is suitable for all mathematicians interested in geometry, harmonic and functional analysis, and probability. Prerequisites for reading this book include basic real, complex, and functional analysis."--BOOK JACKET.