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

2013, Volume 280

| General information | Contents |


Orthogonal series, approximation theory, and related problems


Collected papers. Dedicated to Academician Boris Sergeevich Kashin on the occasion of his 60th birthday

Boris Sergeevich Kashin (photo)
Some thoughts on the mathematical work of Boris Sergeevich Kashin
V. M. Tikhomirov
7
On positive definite piecewise linear functions and their applications
A. S. Belov
11
Kolmogorov widths of Sobolev classes on an irregular domain
O. V. Besov
41
On the Schrödinger maximal function in higher dimension
J. Bourgain
53
On congruences with products of variables from short intervals and applications
Jean Bourgain, Moubariz Z. Garaev, Sergei V. Konyagin, Igor E. Shparlinski
67
Widths of weighted Sobolev classes on a John domain
A. A. Vasil'eva
97
Fourier transforms in generalized Lipschitz classes
S. S. Volosivets, B. I. Golubov
126
Majorant and Paley function for series in general Franklin systems
G. G. Gevorgyan, A. S. Martirosyan
138
Summability of multiple Fourier series for functions of bounded generalized variation
U. Goginava, A. Sahakian
150
Some classes of functions and Fourier coefficients with respect to general orthonormal systems
L. Gogoladze, V. Tsagareishvili
162
Global and local smoothness of the Hilbert transforms
M. I. Dyachenko, E. D. Nursultanov, S. Yu. Tikhonov
175
Greedy bases in $L^p$ spaces
K. Kazarian, V. N. Temlyakov
188
Rigidity and stability of the Leibniz and the chain rule
Hermann König, Vitali Milman
198
A weak-type inequality for uniformly bounded trigonometric polynomials
E. D. Livshits
215
Orthorecursive Fourier–Stieltjes expansions
T. P. Lukashenko
227
Greedy expansions in Hilbert spaces
J. L. Nelson, V. N. Temlyakov
234
A few remarks on sampling of signals with small spectrum
Shahaf Nitzan, Alexander Olevskii, Alexander Ulanovskii
247
Traces of the discrete Hilbert transform with quadratic phase
K. I. Oskolkov, M. A. Chahkiev
255
Estimate for the integral of the absolute value of a sine series with monotone coefficients
A. Yu. Popov, S. A. Telyakovskii
270
Lipschitz stability of operators in Banach spaces
V. Yu. Protasov
275
Countably multiple null series
N. N. Kholshchevnikova
288
Polynomials of least deviation from zero
V. A. Yudin
300


© Steklov Math. Inst. of RAS, 2025