July  September, 2012
Volume 14, Issue 3
This issue is dedicated to the memory of Academician Aleksandr D. Aleksandrov
(4.08.1912  27.07.1999).
Signposts of the Life of Aleksandr D. Aleksandrov
Article (rus.)  [pdf] [zippdf]
The great russian geometer of the twentieth century
Kutateladze S. S.
This is a short overview of the life and contribution of
Aleksandr Danilovich Alexandrov (19121999). Most attention is paid
to his general outlook and ethical principles.
Article (rus.)  [pdf] [zippdf]
Minimal absolutely representing systems of exponential functions
in spaces of analytic functions with given boundary smoothness
Abanin A. V., Petrov S. V.
We consider spaces of functions holomorphic in a convex domain which
are infinitely differentiable up to the boundary and have certain estimates
of all derivatives. Some necessary and sufficient conditions are obtained for
a minimal system of exponential functions to be an absolutely representing system
in the spaces which are generated by a single weight. Relying on these results,
we prove that absolutely representing systems of exponentials do not have
the stability property under the passage to the limit over domains.
Article (rus.)  [pdf] [zippdf]
The inverse coefficient problem for dissipative operators and
identification of the properties of viscoelastic materials
Bogachev I. V. and Vatulyan A. O.
We give some general formulation and the variational equation
of the inverse problem of identifying the inhomogeneous characteristics
of threedimensional viscoelastic body. Under consideration is the problem
of reconstruction of the functional coefficients of dissipative operators
arising in solving several problems of identification of the properties
of layered inhomogeneous viscoelastic structures in the analysis of spectral
characteristics. We suggest a method for constructing an iterative process and
present the results of recovering functions of different types.
Article (rus.)  [pdf] [zippdf]
Matrices comparable by columns and proportional by columns over lattices
Zhuklina A. V.
Matrices over a lattice
(L,
≤)
comparable by columns are studied.
(A matrix is comparable by columns iff its columns form a linearly
ordered set with the partial order induced from
L
.) Some properties
of the matrices are obtained. Solvability of matrix equations in this
class of matrices is studied. The set of matrices proportional by
columns is the subset of the set of matrices comparable by columns.
Some properties as well as solvability of matrix equations are
also studied for suth matrices.
Article (rus.)  [pdf] [zippdf]
Structure of lie derivations on algebras of measurable operators
Juraev I. M.
We prove that every Lie derivation on algebras of measurable
operators is of standard form, that is, it can be uniquely decomposed
into the sum of a derivation and a centervalued trace.
Article (rus.)  [pdf] [zippdf]
The RiemannHilbert boundary value problem for generalized
analytic functions in Smirnov classes
Klimentov S. B.
Under study is the RiemannHilbert boundary value problem for
generalized analytic functions of a Smirnov class in a bounded
simply connected domain whose boundary is a Lyapunov curve or a Radon
curve without cusps. The coefficient of the boundary value
condition is assumed continuous and perturbed by a bounded
measurable function or continuous and perturbed by a bounded
variation function. The paper uses the special representation for
generalized analytic functions of Smirnov classes from the author's
paper [16], which reduces the problem to that for holomorphic
functions. The problem for the holomorphic functions was under study
in the author's papers [1, 2].
Article (rus.)  [pdf] [zippdf]
J. W. Fickett's problem for isosceles triangles
Rasskazova N. V.
Two congruent overlapping isosceles triangles with the
least angle between lateral sides are considered in the Euclidean plane.
J. W. Fickett offered a bilateral estimation for the relation of the
length of the part of the first triangle's boundary in the second
triangle to the length of the part of the second triangle's the
boundary in the first triangle. The paper shows that J. W. Fickett's supposition
is not true in general. An analog of J. W. Fickett's estimation is proved
for the isosceles triangles with the least angle between lateral sides.
Article (rus.)  [pdf] [zippdf]


conference: 
2012 №1, №2;
2011 №1, №2, №3, №4;
2010 №1, №2, №3, №4;
2009 №1, №2, №3, №4;
2008 №1, №2, №3, №4;
2007 №1, №2, №3, №4;
2006 №1, №2, №3, №4;
2005 №1, №2, №3, №4;
2004 №1, №2, №3, №4;
2003 №1, №2, №3, №4;
2002 №1, №2, №3, №4;
2001 №1, №2, №3, №4;
2000 №1, №2, №3, №4;
1999 №1, №2, №3, №4;

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