Theory and applications of differentiable functions of several variables, 15 : dedicated to academician Sergeĭ Mikhaĭlovich Nikolʹskiĭ on his eighty-fifth birthday : collection of papers
著者
書誌事項
Theory and applications of differentiable functions of several variables, 15 : dedicated to academician Sergeĭ Mikhaĭlovich Nikolʹskiĭ on his eighty-fifth birthday : collection of papers
（Proceedings of the Steklov Institute of Mathematics, v. 201,
American Mathematical Society, c1994
- タイトル別名
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Исследования по теории дифференцируемых функций многих переменных и ее приложениям. ч. 15
Issledovanii︠a︡ po teorii different︠s︡iruemykh funkt︠s︡ii mnogikh peremennykh i ee prilozhenii︠a︡m. ch. 15
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注記
Translation of: Исследования по теории дифференцируемых функций многих переменных и ее приложениям. ч. 15
No. in original Russian series statement: tom 201 (1992)
Includes bibliographies
内容説明・目次
内容説明
This book is dedicated to Sergei Mikhailovich Nikolskii 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.
目次
Sergei Mikhailovich Nikolskii (on the occasion of his eighty-fifth birthday) Two-weight estimates for a class of integral operators by E. I. Berezhnoi Interpolation of spaces of differentiable functions defined on a domain by O. V. Besov On a sequence of linear operators by I. L. Bloshanskii The asymptotic behavior of the Schwarz kernels of spectral projections of pseudodifferential operators with operator-valued symbols by K. Kh. Boimatov Almost-everywhere divergent rearrangements of Fourier series in multiplicative systems of functions in the classes $H^\omega$ by S. V. Bochkarev Spaces with mixed norms, and Fourier transforms by Ya. S. Bugrov Approximation by infinitely differentiable vector-valued functions with preservation of range for various function spaces by V. I. Burenkov and P. M. Badzhrachariya Approximate solution, by the block method, of the Laplace equation on polygons with analytic mixed boundary conditions by E. A. Volkov An imbedding criterion for different metrics for isotropic Besov spaces with arbitrary moduli of continuity by M. L. Goldman On systems consisting of subsets of root functions of two different boundary value problems by V. A. Ilin and E. I. Moiseev On estimates of intermediate derivatives by means of moments of the highest derivative by L. D. Kudryavtsev Function spaces and questions of approximation on the Heisenberg group by P. I. Lizorkin and V. S. Guliev Approximation on a manifold by functions of exponential type and by polynomials by S. M. Nikolskii Imbedding theorems for weighted anisotropic spaces of differentiable functions by Yu. S. Nikolskii On quasilinear elliptic problems in $\mathbb R^N$ in the supercritical case by S. I. Pokhozhaev.
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