The articles in this collection present new results in partial differential equations, numerical analysis, probability theory, and geometry. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.

Readership

Graduate students and research mathematicians.

Table of Contents

• A. N. Borodin -- Distribution of the supremum for linear combinations of local times of random processes
• O. L. Vinogradov and V. V. Zhuk -- Sharp Jackson type inequalities for differentiable functions and minimization of the step of the moduli of continuity
• Yu. K. Dem'yanovich -- Biorthogonal system of minimal splines on a nonuniform grid
• V. V. Zhuk and G. I. Natanson -- S. N. Bernstein and direct and converse theorems of contructive function theory
• I. A. Ibragimov -- On S. N. Bernstein's work in probability
• N. M. Ivochkina -- Some trends in the development of the theory of fully nonlinear second order evolution equations
• R. Lauter, B. A. Plamenevskii, and O. V. Sarafanov -- Coefficients in asymptotics of solutions to pseudodifferential equations on manifolds with conical points
• G. A. Leonov -- The Brockett problem in the theory of nonstationary stabilization of linear differential equations
• V. N. Malozemov and A. N. Sergeev -- Discrete nonperiodic splines on a uniform grid
• A. I. Nazarov and Ya. Yu. Nikitin -- Some extremal problems for Gaussian and empirical random fields
• F. V. Petrov and S. E. Rukshin -- Two theorems about convex polyhedra