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2010, Volume 269  

| General information | Contents |


Function theory and differential equations


Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday

Sergei Mikhailovich Nikol'skii (photo)
Preface
7
Wavelet approximation and Fourier widths of classes of periodic functions of several variables. I
D. B. Bazarkhanov
8
Spaces of functions of fractional smoothness on an irregular domain
O. V. Besov
31
Description of interpolation spaces for local Morrey-type spaces
V. I. Burenkov, E. D. Nursultanov
52
On a grid-method solution of the Laplace equation in an infinite rectangular cylinder under periodic boundary conditions
E. A. Volkov
63
Weighted integrability of multiplicative Fourier transforms
S. S. Volosivets, B. I. Golubov
71
On higher order elliptic and parabolic inequalities with singularities on the boundary
E. I. Galakhov
82
Optimal embeddings of generalized Bessel and Riesz potentials
M. L. Goldman
91
A Hardy-type inequality and its applications
Yu. A. Dubinskii
112
A terminal–boundary value problem that describes the process of damping the vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical wave travel times
V. A. Il'in
133
Sharp estimates for derivatives of functions in the Sobolev classes $\mathring W_2^r(-1,1)$
G. A. Kalyabin
143
On the second moduli of continuity
S. V. Konyagin
150
On the representation of a function as an absolutely convergent Fourier integral
E. R. Liflyand, R. M. Trigub
153
Multiple positive solutions of an elliptic equation with a convex–concave nonlinearity containing a sign-changing term
V. F. Lubyshev
167
On the reconstruction of convolution-type operators from inaccurate information
G. G. Magaril-Il'yaev, K. Yu. Osipenko
181
On Riemann “nondifferentiable” function and Schrödinger equation
K. I. Oskolkov, M. A. Chakhkiev
193
Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov
204
Blow-up of sign-changing solutions to quasilinear parabolic equations
S. I. Pohozaev
215
Asymptotic formulas for solutions of nonlocal elliptic problems
A. L. Skubachevskii
225
Sharpening of the estimates for relative widths of classes of differentiable functions
Yu. N. Subbotin, S. A. Telyakovskii
242
Greedy approximation of characteristic functions
V. N. Temlyakov
254
Approximation by Bernstein polynomials at the discontinuity points of derivatives
V. O. Tonkov
265
Continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces on anisotropically irregular domains
B. V. Trushin
271
On the basis property of root vectors of a perturbed self-adjoint operator
A. A. Shkalikov
290
Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
 
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