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January-March, 1999
Volume 1, Issue 1
About Exclusive Sets in Lp-Potential Theory
N. O. Belova (Vladikavkaz)
UDC 517.5+517.956.224
Article (rus.) - [pdf] [zip-pdf]
About One Plane Problem with Mixed Boundary Conditions in Thermal Conduction Theory
N. N. Karkusty (Vladikavkaz)
UDC 539.377
Article (rus.) - [pdf] [zip-pdf]
Nonstandart Analysis of Linear and Nonlinear Operators
A. G. Kusraev (Vladikavkaz)
UDC 517.98
Article (rus.) - [pdf] [zip-pdf]
In the present paper the Stieltjes moment problem in vector lattices is briefly outlined.First of all two examples justifying the statement of the moment problem in vector lattices are considered. The first example concerns a stochastic setting of the moment problem (the moment sequence depends on a measurable parameter) and the second one concerns the spectral resolution of a self-adjoint operator in a Hilbert space. Both examples are covered by the Freudenthal spectral theorem, which is one of the most powerful tools in the theory of vector lattices, and can be interpreted as one of the first solutions to the moment problem in vector lattices. In the last section two resulats concerning the general Stieltjes moment problem in vector lattices are formulated. The main difficulty is to find an appropriate measure extension in vector lattices.
Article (rus.) - [pdf] [zip-pdf]
Two Methods of Solution of the Initial-Boundary Value Problem for a Set of Saint-Venant Equations
I. D. Muzaev, Zh. D. Tuaeva (Vladikavkaz)
UDC 532 (075.8)
Article (rus.) - [pdf] [zip-pdf]
Development of the Mathematical Theory of Interior Gravity Waves in Narrow Deep Reservoirs with Variable Width
I. D. Muzaev, Sh. S. Khubezhty (Vladikavkaz)
UDC 532 (075.8)
Article (rus.) - [pdf] [zip-pdf]
Article (rus.) - [pdf] [zip-pdf]
Cones in the Tensor Products of Ordered Banach Spaces
V. T. Khudalov (Vladikavkaz)
UDC 517.98
Article (rus.) - [pdf] [zip-pdf]
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