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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1997, Volume 219

| General information | Contents |


Approximation theory. Harmonic analysis


Collection of papers dedicated to the memory of Professor Sergei Borisovich Stechkin

Sergei Borisovich Stechkin (photo)
Preface
7
Chebyshev Compact Sets in the Plane
A. R. Alimov
8
Disposition of Points on a Sphere with Minimum of Energy
N. N. Andreev
27
On Two Methods of Generalization of Properties of Univariate Function Systems to Their Tensor Product
A. V. Andrianov, V. N. Temlyakov
32
On Delsarte Scheme of Estimating the Contact Numbers
V. V. Arestov, A. G. Babenko
44
Differentiation of Location Error
V. I. Berdyshev
74
Interpolation and Embeddings of Generalized Function Spaces $B^s_{p,q}$, $F^s_{p,q}$ on a Domain
O. V. Besov
80
Hausdorff–Young–Riesz Theorem in Lorentz Spaces and Multiplicative Inequalities
S. V. Bochkarev
103
On the Use of the Block Method for an Approximate Conformal Mapping of a Polygon onto a Rectangle
E. A. Volkov
115
On Optimal Recovery of Differentiation Operator
V. N. Gabushin
125
On Existence of Best Approximation of a Function of Two Variables by Sums of Plane Waves
A. L. Garkavi
130
Some Properties of Multiplicative Orthonormal Systems Applied in Digital Signal Processing
A. V. Efimov, A. S. Pospelov, S. V. Umnayshkin
137
Jackson Constants in the Space $l_2(\mathbb Z_2^n)$
V. I. Ivanov, O. I. Smirnov
183
One More Generalization of Bessel's Inequality and Riesz–Fischer Theorem for Fourier Series with Respect to Uniformly Bounded Orthonormal Systems
V. A. Il'in
211
On the Direct Theorem of Approximation Theory of Periodic Functions in Different Metrics
N. A. Il'yasov
220
Chebyshev Layer of Manifolds in a Hilbert Space
M. I. Karlov
235
An Estimate of the Number of Solutions of the $n$th Degree Congruence in One Variable
S. V. Konyagin, S. B. Stechkin
249
To the Theory of Implicit Functions
S. M. Nikol'skii
258
Ridge Approximation, Chebyshev–Fourier Analysis and Optimal Quadrature Formulas
K. I. Oskolkov
269
On the Global Fibering Method in Nonlinear Variational Problems
S. I. Pokhozhaev
286
Turan's Problem for Trigonometric Sums
S. B. Stechkin
335
Wavelets Bases in Spaces of Analytic Functions
Yu. N. Subbotin, N. I. Chernykh
340
Representation and Approximation of Multivariate Periodic Functions with Bounded Mixed Moduli of Smoothness
S. Yongsheng, W. Heping
356
On Partial Sums of Fourier Series of Functions of Bounded Variation
S. A. Telyakovskii
378
The Best Approximation of a Derivative and Analogs of Landau's Inequality in a Half-Space
O. A. Timoshin
387
On the Structure of Closed Sets of Uniqueness for the Walsh System
N. N. Kholshchevnikova
400
Smoothing of Functions on a Hilbert Ball
I. G. Tsar'kov
410
On a Problem of C. de Boor for Multivariate $D^m$-Splines
A. Yu. Shadrin
420
Disposition of Points on a Torus and Extremal Properties of Polynomials
V. A. Yudin
453
Errata
S. S. Ajiev
463


© Steklov Math. Inst. of RAS, 2025