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 Trudy Mat. Inst. Steklova: Year: Volume: Issue: Page: Find

 1992, Volume 194

 | General information | Contents |

Investigations in the theory of differentiable functions of many variables and its applications. Part 14

Editor: S. M. Nikol'skii
Managing editor: E. F. Mishchenko

ISSN: 0371-9685, 0203-9265
ISBN: 5-02-000106-6
UDC: 517.518

Abstract: Collection of works deals with different actual trends in theory of differentiable functions of many variables and its applications. There are studied different spaces of differentiable functions of many real variables, imbeddings, equivalent normalizations, weighted estimates of derivatives, traces on subsets. Different questions of approximation for function spaces on real line, on hyperboloide, on Lobachevskii space are considered. Investigations on bilinear approximations are applied to estimation of singular numbers and widths of integral operators. Asymptotics of spectrum for degenerate elliptic systems, external variational Dirichlet problem for degenerate elliptic operator are studied; block method of approximate solution of Laplace equation for nouanalytical boundary values is developed.
Previous parts of this collection of works are published in “Proceedings of Steklov Institute of Mathematics”: Pt 1 – Vol. 77 (1967), Pt 2 – Vol. 89 (1968), Pt 3 – Vol. 105 (1971), Pt 4 – Vol. 117 (1974), Pt 5 – Vol. 131 (1975), Pt 6 – Vol. 140 (1979), Pt 7 – Vol. 150 (1981), Pt 8 – Vol. 156 (1983), Pt 9 – Vol. 161 (1984), Pt 10 – Vol. 170 (1987), Pt 11 – Vol. 173 (1987), Pt 12 – Vol. 181 (1989), Pt 13 – Vol. 187 (1990). Collection of works is intended for scientific workers, students and postgraduate students, that are specialized in theory of functions and its applications.

Citation: Investigations in the theory of differentiable functions of many variables and its applications. Part 14, Trudy Mat. Inst. Steklov., 194, ed. S. M. Nikol'skii, E. F. Mishchenko, Nauka, Moscow, 1992, 249 pp.

Citation in format AMSBIB:
\Bibitem{1} \book Investigations in the theory of differentiable functions of many variables and its applications. Part~14 \serial Trudy Mat. Inst. Steklov. \yr 1992 \vol 194 \publ Nauka \publaddr Moscow \ed S.~M.~Nikol'skii, E.~F.~Mishchenko \totalpages 249 \mathnet{http://mi.mathnet.ru/book1112}