Volume 155, Issue 1

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November 2008

This issue is a translation of Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 25, Theory of Functions, 2007.

15 articles in this issue

Petr Lavrent'evich Ul'yanov
S. I. Adyan
O. V. Besov
M. K. Potapov
OriginalPaper 31 October 2008 Pages: 1 - 4
On conditions of the average convergence (upper boundedness) of trigonometric series
A. S. Belov
OriginalPaper 31 October 2008 Pages: 5 - 17
Estimates for L _p modules of continuity on domains with an irregular boundary and embedding theorems
O. V. Besov
OriginalPaper 31 October 2008 Pages: 18 - 30
A weak generalized localization of multiple Fourier series of continuous functions with a certain module of continuity
I. L. Bloshanskii
T. A. Matseevich
OriginalPaper 31 October 2008 Pages: 31 - 46
Multiplicative bounds for L ₁-norms of exponential sums
S. V. Bochkarev
OriginalPaper 31 October 2008 Pages: 47 - 56
On a norm and approximate characteristics of classes of multivariable functions
B. S. Kashin
V. N. Temlyakov
OriginalPaper 31 October 2008 Pages: 57 - 80
On uniformly convergent rearrangements of trigonometric Fourier series
S. V. Konyagin
OriginalPaper 31 October 2008 Pages: 81 - 88
On some properties of subharmonic functions and entire functions of order zero
V. V. Napalkov
V. A. Tarov
OriginalPaper 31 October 2008 Pages: 89 - 104
A generalization of the fundamental theorem of spherical harmonic theory
S. M. Nikolskii
OriginalPaper 31 October 2008 Pages: 105 - 108
On N-termed approximations in H ^s-norms with respect to the Haar system
P. Oswald
OriginalPaper 31 October 2008 Pages: 109 - 128
Linear and nonlinear methods of relief approximation
K. I. Oskolkov
OriginalPaper 31 October 2008 Pages: 129 - 152
On the connection between the best approximation by algebraic polynomials and the modulus of smoothness of order r
M. K. Potapov
F. M. Berisha
OriginalPaper 31 October 2008 Pages: 153 - 169
On the stability of the uniform minimality of a set of exponentials
A. M. Sedletskii
OriginalPaper 31 October 2008 Pages: 170 - 182
Riemann's localization theorem. An estimate for the rate of convergence
S. A. Teliakovskii
OriginalPaper 31 October 2008 Pages: 183 - 187
An equiconvergence theorem for an integral operator with a variable upper limit of integration
A. P. Khromov
OriginalPaper 31 October 2008 Pages: 188 - 198

Volume 155, Issue 1

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