Publisher's Synopsis
This collection of papers is devoted to various problems in the theory of differentiable functions of several variables and their application to partial differential equations.;Among the topics addressed are - imbeddings and equivalent normings of various spaces of smooth functions of several variables defined on subsets of Euclidean spaces; constructive properties of various spaces of differentiable functions; convergence of multiple Fourier series; estimates of bilinear approximations of periodic functions and estimates of widths; variational problems on intervals and solutions of the hydrodynamic system for a viscous fluid; high precision algorithms for approximate conformal mappings of simply connected and doubly connected regions.
