The Interface between Convex Geometry and Harmonic Analysis

Abstract

Fourier Analysis In Convex Geometry pdf book This conference is on the interface between convex geometry and harmonic analysis. Alexander Koldobsky will deliver ten lectures on a number of topics of Harmonic Analysis and Uniqueness Questions in Convex Geometry Alexander Koldobsky Mathematics-University of Missouri, Columbia the interface between convex geometry and harmonic analysis free. In mathematics, convex geometry is the branch of geometry studying convex sets,. V. Yaskin, The Interface between Convex Geometry and Harmonic Analysis, Applications of Fourier analysis to convex geometry A typical result we prove is that if r ? 2 and X ? r Y ? I p where p ? 2 then X ? I q as long as p ? q ? m + p where m dim Y. We consider a more general Alexander Koldobsky-Google Scholar Citations A.Koldobsky, V.Yaskin, The interface between convex geometry and harmonic analysis, CBMS Regional Conference Series, American Mathematical Society, The Interplay between Convex Geometry and Harmonic Analysis the interface between convex geometry and harmonic analysis free pdf and manual. 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, Convex geometry-Wikipedia, the free encyclopedia This workshop, sponsored by AIM and the NSF, concerns the interface between convex geometry and harmonic analysis. Particular attention will be given to A Course on Convex Geometry The Interface Between Convex Geometry and Harmonic Analysis. 26 Dec 2013. in convex geometry, asks whether there exists an absolute constant C. Geometry of Banach spaces and harmonic analysis, Proceedings KY A. Koldobsky and V. Yaskin, The Interface between Convex Geometry and. Upcoming Scientific Events-MSRI 14 Mar 2014. For Organizers • For Applicants • Reply to a Workshop Invitation • Organizer Interface • BIRS Geometric Tomography and Harmonic Analysis 14w5085 to coordinate the main applications of Harmonic Analysis to Convex Geometry and the duality between sections and projections of convex bodies. A hyperplane inequality for measures of unconditional convex bodies Contents.

Complex intersection bodies

“…Now we are going to prove a complex version of the result of Goodey and Weil. We do it by adjusting to the complex case the proofs from [38] and [34,Theorem 3.10].…”

“…In particular, these bodies played an important role in the solution of the Busemann-Petty problem. Many results on intersection bodies have appeared in recent years (see [10,22,34] and references there), but almost all of them apply to the real case. The goal of this paper is to extend the concept of an intersection body to the complex case.…”

A Hyperplane Inequality for Measures of Convex Bodies in ℝ n , n≤4

“…We use the techniques of the Fourier approach to sections of convex bodies; see [20] and [22] for details. As usual, we denote by S(R n ) the Schwartz space of rapidly decreasing infinitely differentiable functions (test functions) in R n , and S (R n ) is the space of distributions over S(R n ).…”

Stability of volume comparison for complex convex bodies

“…We use the techniques of the Fourier approach to sections of convex bodies (see [13,17] for details).…”