Proceedings of the St. Petersburg Mathematical Society Volume IV

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.