**American Mathematical Society Translations - Series 2**

1998;
250 pp;
Hardcover

MSC: Primary 01; 20; 35; 41; 47; 54; 60;
Secondary 94

**Print ISBN: 978-0-8218-0613-5
Product Code: TRANS2/188**

List Price: $144.00

AMS Member Price: $115.20

MAA Member Price: $129.60

**Electronic ISBN: 978-1-4704-3399-4
Product Code: TRANS2/188.E**

List Price: $140.00

AMS Member Price: $112.00

MAA Member Price: $126.00

# Proceedings of the St. Petersburg Mathematical Society Volume IV

Share this page *Edited by *
*O. A. Ladyzhenskaya*

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

## Proceedings of the St. Petersburg Mathematical Society Volume IV

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents vii8
- The Gaussian oscillation on convex sets 110
- On the limit distribution of a homogeneous polynomial on the unit sphere of large dimension 1928
- The splitting method in the operator approximation problem 4756
- Measures on Abelian groups (a survey) 7584
- On extension of analytic solutions of linear partial differential equations 105114
- A differential model for the growth of Young diagrams 111120
- Approximation of functions on standard simplexes 131140
- Spectral properties of random selfadjoint operators and matrices (a survey) 153162
- Asymptotics of the spectrum for two model problems in the theory of liquid vibrations 197206
- Countable analogues of pseudocompact and Stone-Čech extensions 223232
- Julian Vasil′evich Sokhotskiĭ (1842–1927) 247256
- Back Cover Back Cover1261