Theory And Applications Of Differentiable Functions Of Several Variables

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Theory and Applications of Differentiable Functions of Several Variables

Anonim
Theory and Applications of Differentiable Functions of Several Variables Book PDF

Author : Anonim
Publisher : American Mathematical Soc.
Page : 276 pages
File Size : 52,8 Mb
Release : 1994
Category : Mathematics
ISBN : 0821802763

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Theory and Applications of Differentiable Functions of Several Variables by Anonim Pdf

This book explores various topical trends in the theory of differentiable functions of several real variables and its applications. Among the subjects covered are: imbedding of various spaces of differentiable functions defined on sets in Euclidean space, on a sphere, and in a polydisc; approximation of functions; estimates for the norms of various integral operators in weighted space; conditions for stabilization of a function to a polynomial; sufficient conditions for multipliers; construction of unconditional bases in anisotropic spaces; existence of entire solutions for quasilinear equations; and establishment of an asymptotic formula for the kernels of powers of the resolvent of elliptic operators.

Theory and Applications of Differentiable Functions of Several Variables

Lev Dmitrievich Kudri︠a︡vt︠s︡ev
Theory and Applications of Differentiable Functions of Several Variables Book PDF

Author : Lev Dmitrievich Kudri︠a︡vt︠s︡ev
Publisher : American Mathematical Soc.
Page : 300 pages
File Size : 44,8 Mb
Release : 1994
Category : Mathematics
ISBN : 0821803387

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Theory and Applications of Differentiable Functions of Several Variables by Lev Dmitrievich Kudri︠a︡vt︠s︡ev Pdf

This book is dedicated to Sergei Mikhailovich Nikol'skii on the occasion of his eighty-fifth birthday. The collection contains new results on the following topics: approximation of functions, imbedding theory, interpolation of function spaces, convergence of series in trigonometric and general orthogonal systems, quasilinear elliptic problems, spectral theory of nonselfadjoint operators, asymptotic properties of pseudodifferential operators, and methods of approximate solution of Laplace's equation.