This volume is devoted to analysis, probablility and applications. It includes useful surveys by Pastur on random operators and their applications, Feldman on harmonic analysis and analogues of Levi-Khinchin formulas on abelian groups, and Kerov on application of representation theory of symmetric groups to classical analysis. Also featured are products of random operators, convolution of abelian groups, orthogonal polynomials, and semiordered Banach spaces.

Readership

Graduate students and research mathematicians working in fundamental analysis, probability theory and mathematical physics.

Table of Contents

• S. G. Bobkov -- The Gaussian oscillation on convex sets
• V. V. Borzov -- On the limit distribution of a homogeneous polynomial on the unit sphere of large dimension
• I. K. Daugavet -- The splitting method in the operator approximation problem
• G. M. Fel'dman -- Measures on Abelian groups (a survey)
• A. Kaneko -- On extension of analytic solutions of linear partial differential equations
• S. Kerov -- A differential model for the growth of Young diagrams
• V. V. Zhuk and G. I. Natanson -- Approximation of functions on standard simplexes
• L. A. Pastur -- Spectral properties of random selfadjoint operators and matrices (a survey)
• T. A. Suslina -- Asymptotics of the spectrum for two model problems in the theory of liquid vibrations
• A. I. Veksler and A. V. Koldunov -- Countable analogues of pseudocompact and Stone-Čech extensions
• N. S. Ermolaeva -- Julian Vasil'evich Sokhotskiĭ (1842-1927)