Includes bibliographical references.

Distribution of the supremum for linear combinations of local times of random processes;Sharp Jackson type inequalities for differentiable functions and minimization of the step of the moduli of continuity;Biorthogonal system of minimal splines on a nonuniform grid;S. N. Bernstein and direct and converse theorems of constructive function theory;On S. N. Bernstein's work in probability;Some trends in the development of the theory of fully nonlinear second order evolution equations;Coefficients in asymptotics of solutions to pseudodifferential equations on manifolds with conical points;The Brockett problem in the theory of nonstationary stabilization of linear differential equations;Discrete nonperiodic splines on a uniform grid;Some extremal problems for Gaussian and empirical random fields;Two theorems about convex polyhedra