Dmitri FINKELSHTEIN
Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivs'ka Str.,
01601 Kyiv-4, UKRAINE
E-mail: fdl@voliacable.com

Symmetric differential operators of the second order on the configuration spaces

Abstract:
The wide class of the operators on the configuration spaces with Gibbs measures is presented. Second order differential expressions are studied and symmetric extensions of the corresponding minimal operators on configuration spaces over domains with boundaries are described. The importance of the Neumann-type boundary conditions is noted.