Mathematics |
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2004, Special Issue
E.N. Akhmetzyanova, V.M. Dolgopolov, M.V. Dolgopolov
A brief introduction in the analytical calculations of the basic one-loop scalar integrals involved in the quantum field theory is presented. One-, two-, three- and four-point functions, which are involved in studying physical processes at an one-loop level of the perturbative theory are investigated.
D.P. Kojan
CALCULATION OF CHARACTERISTIC FUNCTIONS OF CONVOLUTIONS OF VARIOUS WIENER PROCESSES
The paper is devoted to calculation of characteristic functions and distributions of convolutions of various Wiener processes. The obtained results entirely describe properties of characteristic functions of functionals 
and 
.
E.A. Savinov
The paper is devoted to study of logarithmic derivatives of a class of symmetric (in particular α-symmetric) distributions in åðó space of sequences. Explicit relations for logarithmic derivatives along the system of coordinate vectors are obtained. The statistic independence and the strong law of large numbers for the sequences of logarithmic derivatives are formulated.
E.V. Sokolovskaya
ON LOWER APPROXIMATION OF THE SYSTEMS OF DIFFERENTIAL INCLUSIONS WITH NON-LIPSCHITZ RIGHT-HAND SIDE
A theorem about lower approximation of the systems of differential inclusions with one-sided Lipschitz right-hand side and slow variables is proved. The inclusions with non-Lipschitz right-hand side are employed for the approximation.
Å.À. Utkina
GOURSAT'S PROBLEM FOR AN N-DIMENSIONAL EQUATION
For arbitrary equation of hyperbolic type of 2n-order with derivatives on all variables less then or equal to the second order a solution of Goursat's problem is obtained in terms of the Rieman function.