Geometric Aspects of Functional Analysis

ISBN-13: 9783540540243 / Angielski / Miękka / 1991 / 196 str.

Joram Lindenstrauss; Vitali D. Milman

Opis

The scope of the Israel seminar in geometric aspects of functional analysis during the academic year 89/90 was particularly wide covering topics as diverse as: Dynamical systems, Quantum chaos, Convex sets in Rn, Harmonic analysis and Banach space theory. The large majority of the papers are original research papers.

Spis treści

Stochastic models of some dynamical systems.- Some applications of duality relations.- Mathematical problems in the theory of quantum chaos.- Quasi-classical expansions and the problem of quantum chaos.- A strengthened isoperimetric inequality for simplices.- A new isoperimetric inequality and the concentration of measure phenomenon.- Permutations of the Haar system.- On the distribution of polynomials on high dimensional convex sets.- On convering a set in R N by balls of the same diameter.- Characterization of affinely-rotation-invariant log-concave measures by section-centroid location.- Remarks on Montgomery's conjectures on dirichlet sums.- On the dependence on ? in a theorem of J. Bourgain, J. Lindenstrauss and V.D. Milman.- Another remark on the volume of the intersection of two L p n balls.- On the restriction and multiplier problems in R3.