Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 1989–90

Lennart Carleson (auth.), Joram Lindenstrauss, Vitali D. Milman (eds.)3540540245, 9783540540243, 0387540245

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.

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Table of contents :
Stochastic models of some dynamical systems….Pages 1-12
Some applications of duality relations….Pages 13-40
Mathematical problems in the theory of quantum chaos….Pages 41-59
Quasi-classical expansions and the problem of quantum chaos….Pages 60-89
A strengthened isoperimetric inequality for simplices….Pages 90-93
A new isoperimetric inequality and the concentration of measure phenomenon….Pages 94-124
Permutations of the Haar system….Pages 125-126
On the distribution of polynomials on high dimensional convex sets….Pages 127-137
On convering a set in R N by balls of the same diameter….Pages 138-144
Characterization of affinely-rotation-invariant log-concave measures by section-centroid location….Pages 145-152
Remarks on Montgomery’s conjectures on dirichlet sums….Pages 153-165
On the dependence on ε in a theorem of J. Bourgain, J. Lindenstrauss and V.D. Milman….Pages 166-173
Another remark on the volume of the intersection of two L p n balls….Pages 174-178
On the restriction and multiplier problems in R 3 ….Pages 179-191