Contents
Vestnik St. Petersburg University: Mathematics

Vol. 41, No. 1, 2008

Simultaneous English language translation of the journal is available from Allerton Press, Inc.
Distributed worldwide by Springer. Vestnik St. Petersburg University. Mathematics ISSN 1063-4541.

To the 100th Anniversary of Birthday of Dmitrii Konstantinovich Faddeev

D. K. Faddeev and St. Petersburg Algebraic School

A. V. Yakovlev p. 1  abstract

Standard Commutator Formula

N. A. Vavilov and A. V. Stepanov p. 5  abstract

Stable Equivalence Classes of Self-Injective Algebras of Tree Class D_n

Yu. V. Volkov p. 9  abstract

Generalization and Application of the Eisenstein Reciprocity Law

S. V. Vostokov and K. Yu. Orlova p. 15  abstract

Mathematics

Multilevel Descriptions of Classes Decreasing the Number of Steps
in Solving Pattern Recognition Problems Described by Propositional Formulas

T. M. Kosovskaya p. 21  abstract

Evaluation of the Growth Rate of the State Vector in a Second-Order Generalized Linear Stochastic System

N. K. Krivulin p. 28  abstract

On the Terminal Control Problem for Nonlinear Discrete-Time Systems

A. S. Matveev p. 39  abstract

On the Spectrum of the Steklov Problem in a Domain with a Peak

S. A. Nazarov and J. Taskinen p. 45  abstract

Invariant Cubature Formulas of Degree Eleven which Contain the Laplace Operator

A. K. Ponomarenko p. 53  abstract

Optimization of the Quasi-Monte Carlo Algorithm for Solving Systems of Linear Algebraic Equations

A. I. Rukavishnikova p. 60  abstract

Localization of the Complex Roots of a Certain Quasi-Polynomial

M. G. Sulimov p. 65  abstract

Brief Scientific Communications

Inversion of the Laplace Transform Based on the Fourier–Legendre Expansion of the Original Function

M. M. Kabardov p. 71  abstract

A Prediction Conjecture for Multiparameter Markets

G. A. Leonov p. 75  abstract

Finding the Point of Jump and the Value of Jump of the Original Function from Its Laplace Transform

V. M. Ryabov p. 77  abstract

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