Convex Geometric Analysis
Published on 28. January 1999
Book
Hardback
256 pages
978-0-521-64259-0 (ISBN)
Description
Convex geometry is at once simple and amazingly rich. While the classical results go back many decades, during that previous to this book's publication in 1999, the integral geometry of convex bodies had undergone a dramatic revitalization, brought about by the introduction of methods, results and, most importantly, new viewpoints, from probability theory, harmonic analysis and the geometry of finite-dimensional normed spaces. This book is a collection of research and expository articles on convex geometry and probability, suitable for researchers and graduate students in several branches of mathematics coming under the broad heading of 'Geometric Functional Analysis'. It continues the Israel GAFA Seminar series, which is widely recognized as the most useful research source in the area. The collection reflects the work done at the program in Convex Geometry and Geometric Analysis that took place at MSRI in 1996.
Reviews / Votes
Review of the hardback: '... a useful source of inspiration for mathematicians working in convex geometry and functional analysis.' European Mathematical SocietyMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 18 mm
Weight
552 gr
ISBN-13
978-0-521-64259-0 (9780521642590)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Keith M. Ball | Vitali Milman
Convex Geometric Analysis
Book
07/2011
Cambridge University Press
€54.60
Shipment within 15-20 days
Persons
Content
1. Integrals of smooth and analytic functions over Minkowski's sums of convex sets S. Alesker; 2. On the Gromov-Milman theorem on concentration phenomenon on the uniformly convex sphere S. Alesker; 3. Geometric inequalities in option pricing Christer Borell; 4. Random points in isotropic convex sets Jean Bourgain; 5. Threshold intervals under group symmetries Jean Bourgain and G. Kalai; 6. On a generalization of the Busemann-Petty problem Jean Bourgain and Gaoyong Zhang; 7. Isotropic constants of Schatten class spaces Sean Dar; 8. On the stability of the volume radius E. D. Gluskin; 9. Polytope approximations of the unit ball of Lpn W. T. Gowers; 10. A remark about the scalar-plus-compact problem W. T. Gowers; 11. Another low-technology estimate in convex geometry Greg Kuperberg; 12. On the equivalence between geometric and arithmetic means for log-concave measures Rafal Latala; 13. On the constant in the Reverse Brunn-Minkowski inequality for p-convex balls A. E. Litvak; 14. An extension of Krivine's theorem to quasi-normed spaces A. E. Litvak; 15. A note on Gowersi dichotomy theorem Bernard Maurey; 16. An isomorphic version of Dvoretzky's theorem II Vitali Milman and Gideon Schechtman; 17. Asymptotic versions of operators and operator ideals V. Milman and R. Wagner; 18. Metric entropy of the Grassman manifold Alain Pajor; 19. Curvature of nonlocal Markov generators Michael Schmuckenschlager; 20. An external property of the regular simplex Michael Schmuckenschlager; 21. Floating body, illumination body, and polytopal approximation Carsten Schutt; 22. A note on the M*-limiting convolution body Antonis Tsolomitis.