Geometric Aspects of Functional Analysis

1. Front Matter

   Pages I-IX

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2. Stochastic models of some dynamical systems

   • Lennart Carleson

   Pages 1-12

3. Some applications of duality relations

   • V. Milman

   Pages 13-40

4. Mathematical problems in the theory of quantum chaos

   • Ya. G. Sinai

   Pages 41-59

5. Quasi-classical expansions and the problem of quantum chaos

   • P. M. Bleher

   Pages 60-89

6. A strengthened isoperimetric inequality for simplices

   • Alexander G. Reznikov

   Pages 90-93

7. A new isoperimetric inequality and the concentration of measure phenomenon

   • Michel Talagrand

   Pages 94-124

8. Permutations of the Haar system

   • Paul F. X. Müller

   Pages 125-126

9. On the distribution of polynomials on high dimensional convex sets

   • J. Bourgain

   Pages 127-137

10. On convering a set in R ^N by balls of the same diameter

    • J. Bourgain, J. Lindenstrauss

    Pages 138-144

11. Characterization of affinely-rotation-invariant log-concave measures by section-centroid location

    • M. Meyer, S. Reisner

    Pages 145-152

12. Remarks on Montgomery's conjectures on dirichlet sums

    • J. Bourgain

    Pages 153-165

13. On the dependence on ε in a theorem of J. Bourgain, J. Lindenstrauss and V.D. Milman

    • M. Schmuckenschläger

    Pages 166-173

14. Another remark on the volume of the intersection of two L ⁿ _p balls

    • G. Schechtman, M. Schmuckenschläger

    Pages 174-178

15. On the restriction and multiplier problems in R3

    • Jean Bourgain

    Pages 179-191

16. Back Matter

    Pages 193-197

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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.

• Banach Space
• calculus
• differential equation
• distribution
• functional analysis
• harmonic analysis
• measure

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