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.
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This collection of papers deals with investigations into various problems in the theory of differentiable functions of several variables and the application of this theory to differential equations and numerical methods of solution. Among the topics covered are: embeddings of various spaces of differentiable functions and their dependence on the domain of definition, multipliers and bases in weighted spaces, various approximations of smooth functions and their representation with the use of series and integrals, spectral problems related to ordinary differential operators with singular coefficients, solutions of regular partial differential equations with emphasis on their behavior at infinity, and a block method for approximate solution of the Laplace equation.
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