**American Mathematical Society Translations - Series 2**

2003;
221 pp;
Hardcover

MSC: Primary 00;

Print ISBN: 978-0-8218-3405-3

Product Code: TRANS2/209

List Price: $113.00

Individual Member Price: $90.40

**Electronic ISBN: 978-1-4704-3420-5
Product Code: TRANS2/209.E**

List Price: $113.00

Individual Member Price: $90.40

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# Proceedings of the St. Petersburg Mathematical Society, Volume IX

Share this page *Edited by *
*N. N. Uraltseva*

The articles in this collection present new results in analysis,
combinatorics, probability, theory of functions, and partial differential
equations. The material presented in the book will be of interest to a broad
range of specialists.

In several papers, the authors study the classical solvability of the
Cauchy-Dirichlet problem for a class of parabolic systems, the solvability of
the Dirichlet problem for the quasilinear second order parabolic systems,
estimates for solutions of uniformly elliptic systems, and generalizations of
the embedding theorems. In other papers, the authors describe a new method for
the computation of correlation dimension, present generalizations of the fast
Fourier transform method for wavelet expansions, and study the spectrum of
two-dimensional periodic magnetic Schrödinger operator.

#### Readership

Graduate students and research mathematicians interested in analysis, combinatorics, probability, theory of functions, or partial differential equations.

# Table of Contents

## Proceedings of the St. Petersburg Mathematical Society, Volume IX

- Cover Cover11
- Title page iii4
- Copyright page iv5
- Contents v6
- On classical solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems in the case of two spatial variables 18
- The Bernstein inequality in the de Branges spaces and embedding theorems 2128
- The oblique derivative problem in spaces with asymptotics on edges 5158
- Glassman’s formula, fast Fourier transform, and wavelet expansions 93100
- Dirichlet problem for quasilinear parabolic equations in domains with smooth closed edges 115122
- Two-sided estimates of deviation from exact solutions of uniformly elliptic equations 143150
- Calculation of correlation dimension of a time series based on enumeration of suboptimal solutions 173180
- Approximation by entire functions of an infinite system of closed intervals 183190
- Absolute continuity of the spectrum of the two-dimensional magnetic periodic Schrödinger operator with positive electric potential 191198
- Back Cover Back Cover1232