Analytic properties of quasiconformal mappings on Carnot groups

The research was supported by the Russian Foundation for Fundamental Research (Grant 94-01-00378) and the International Science Foundation (Grant RAT000).     

A problem nonlocal in time for the equations of the dynamics of a barotropic ocean

The research was supported by the Russian Foundation for Fundamental Research (Grant 93-013-16384) and the International Science Foundation (Grant NR 5000).     

Approximately differentiable transformations and change of variables on nilpotent groups

The research was financially supported by the Russian Foundation for Basic Research (Grant 94-01-00378) and the International Science Foundation (Grant RAT000).     

Inequalities for derivatives of functions analytical in a strip

This work was supported by the Russian Foundation for Fundamental Research, Grant No. 93-01-00237, and by the International Scientific Foundation, Grant No. MP 1000.     

Weakly symmetric spaces and spherical varieties

Weakly symmetric homogeneous spaces were introduced by A. Selberg in 1956. We prove that, for a real reductive algebraic group, they can be characterized as the spaces of real points of affine spherical homogeneous varieties of the complexified group. As an application, under the same assumption on the transitive group, we show that weakly symmetric spaces are precisely the homogeneous Riemannian manifolds with commutative algebra of invariant differential operators.Supported by the Alexander von Humboldt Foundation and Russian Foundation for Basic Research, Grant No. 95-01-01263.Supported by the U. S. Civilian Research and Development Foundation, Award No. 206, Russian Foundation for Basic Research, Grant No. 98-01-00598, and the Alexander von Humboldt Foundation.     

A new example of a flexible polyhedron

The research was supported by the Russian Foundation for Fundamental Research (Grant 94-01-01089).     

Dominating sets and hamiltonicity inK 1,3-free graphs

The research was supported by the Russian Foundation for Fundamental Research (Grant 93-011-1486).     

Cylinder theorems for convex hypersurfaces

The research was supported by the Russian Foundation for Fundamental Research (Grant 93-011-179).     

The method of step by step inversion for numerical solution of the Biharmonic equation

The research was supported by the Russian Foundation for Fundamental Research (Grant 93-01-00494).     

Recursive topological spaces

The research was supported by the Russian Foundation for Fundamental Research (Grant 093-01-01506).     

Pulsating hierarchies

The research was supported by the Russian Foundation for Fundamental Research (Grant 93-011-16014).     

On stability of isometric transformations

The research was supported by the Russian Foundation for Fundamental Research (Grant 93-011-228).     

Reduction of multidimensional inverse problems to initial-boundary value problems in Hilbert spaces

The research was supported by the Russian Foundation for Fundamental Research (Grant 93-011-181).     

On a dynamic system arising from a finite-dimensional approximation of the Schrödinger equation

This work was supported by the Russian Foundation for Fundamental Research, Grant No. 93-011-16045.     

Hausdorff sets of matrices and an estimate for the angle between invariant subspaces

The research was financially supported by the Russian Foundation for Fundamental Research (Grant 93-01-01515).     

On normality in function spaces

This work was supported by the Russian Foundation for Fundamental Research, Grant No. 93-011-1401.     

Linear perturbations of the operator div

The research was financially supported by the Russian Foundation for Fundamental Research (Grant 93-011-1696).     

Numerical methods for static problems of elasticity

The research was supported by the Russian Foundation for Fundamental Research (Grant 93-012-00494).     

On the Gale-NikaidÔ-Inada fundamental theorem on univalence of mappings

The research was supported by the Russian Foundation for Fundamental Research (Grant 93-011-228)     

On a certain class of curves arising in a free boundary problem for stokes flows

The research was supported by the Russian Foundation for Fundamental Research (Grant 93-013-17621).