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JOURNALS // Chebyshevskii Sbornik // Archive

2021, Volume 22, Issue 3


От редакции
5
P. L. Chebyshev — scientist, teacher and scientific figure
S. S. Demidov
6
Estimates the Bergman kernel for classical domains É. Cartan's
J. Sh. Abdullayev
20
Jordan–Kronecker invariants of Borel subalgebras of semisimple Lie algebras
K. S. Vorushilov
32
Inversion formula for Dirichlet series and its application
L. A. Gromakovskaya, B. M. Shirokov
57
Quesitions of enumeration of spanning forests of selected graphs
E. Deza, B. Mhanna
77
About three-dimensional nets of Smolyak II
N. N. Dobrovol'skii, D. V. Gorbachev, V. I. Ivanov
100
Inequalities for Dunkl–Riesz transforms and Dunkl gradient with radial piecewise power weights
V. I. Ivanov
122
Hausdorff operators on Hardy type spaces
E. Liflyand, M. Skopina
133
Polynomials with small values in the neighborhoods of zeros in Archimedean and non-Archimedean metrics
A. V. Lunevich, N. V. Shamukova
143
Solving the Delsarte problem for $4$-designs on the sphere $\mathbb{S}^{2}$
I. A. Martyanov
154
Trigonometric sums of grids of algebraic lattices with infinitely differentiable weights
E. M. Rarova, N. N. Dobrovol'skii, I. Yu. Rebrova, N. M. Dobrovol'skii
166
On some additive problems of Goldbach's type
H. M. Saliba, V. N. Chubarikov
179
Smooth manifold of one-dimensional lattices and shifted lattices
E. N. Smirnova, O. A. Pikhtilkova, N. N. Dobrovol'skii, I. Yu. Rebrova, A. V. Rodionov, N. M. Dobrovol'skii
196
$\bar \omega$-fibered formations of finite groups
M. M. Sorokina, A. A. Gorepekina
232
Polyadic Liouville numbers
V. G. Chirskii
245

REPORTS BY YOUNG SCIENTISTS
Some number-theoretic methods for solving partial derivatives
A. V. Rodionov
256

HISTORY OF MATH AND APPLICATIONS
Numerical optimization of the sintering process of dispersed electroerosion particles of the alloy VNZh 95
E. V. Ageeva, E. V. Ageev, O. V. Kuzovleva, A. E. Gvozdev
298
On the development of nonlinear integral equations at the early stage and the contribution of domestic mathematics
E. M. Bogatov, R. R. Mukhin
311
The integral formula in problems of the stability of inhomogeneous rods
V. I. Gorbachev, A. A. Ruban
345
Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients
V. I. Gorbachev
353
About application of number-theoretic grids in problems of acoustics
N. N. Dobrovol'skii, S. A. Skobel'tsyn, L. A. Tolokonnikov, N. V. Larin
368
From the algebraic methods of Diophantus–Fermats–Euler to the arithmetic of algebraic curves: about the history of diophantine equations after Euler
T. A. Lavrinenko, A. A. Belyaev
383
Pafnutiy Lvovich Chebyshev (1821–1894), a man of science in the service of Russia (On the occasion of the bicentennial of his birth)
A. A. Tikhonov
405
Reflection and refraction of a plane sound wave in an elastic plate with an inhomogeneous anisotropic coating
L. A. Tolokonnikov, S. L. Tolokonnikov
423

BRIEF MESSAGE
On the effective elastic properties of a layered composite material made using 3D-technology
I. K. Arkhipov, V. I. Abramova, O. V. Kuzovleva, A. E. Gvozdev
438
Optimal design of the damping properties of porous metal composites
I. K. Arkhipov, V. I. Abramova, O. V. Kuzovleva, A. E. Gvozdev, G. V. Semenova
443
A remark on a lemma from Filippov's article on differential inclusions
E. E. Borisenko
448
Approximation by spherical polynomials in $L^{p}$ for $p<1$
D. V. Gorbachev, N. N. Dobrovolskii
453
Finite groups with $OS$-propermutable subgroups
E. V. Zubei
457
Ball's lemma as an exercise
E. Liflyand
464
On the global solvability of the Cahn-Hilliard equation
Kh. S. Taramova
467
On a property of the Fenchel transform
A. A. Farvazova
474

MEMORIAL DAYS
Alexander Ivanovich Nizhnikov (on the 75th anniversary of his birth)
V. N. Chubarikov, G. L. Abdulgalimov, E. I. Deza, M. S. Mirzoev, O. A. Kosino, Yu. L. Hotuntsev, I. A. Shilin, R. M. Aslanov, O. M. Rastopchina, Yu. A. Drobyshev, N. M. Dobrovolskii, N. N. Dobrovolskii, I. Yu. Rebrova
479–492


© Steklov Math. Inst. of RAS, 2025