Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
30.11.1950
E-mail: Website: http://letopis.msu.ru/peoples/2573 Keywords: functional integrals; quasi-invariant measures; groups of diffeomorphisms; representation of infinintly dimensional groups.
Subject:
Construction of quasi-invariant measures on groups of diffeomorphismes of riemannian manifolds. Research of unitary represantations of groups of diffeomorphismes. Research of relations of different definitions of functional integrals. Proofs of theorem of Minlos for measures with alternating signs and theorem of Hahn–Jordan for smooth measures. Establishment of criterions of different species of completeness for locally convex spaces.
Main publications:
Shavgulidze E. T. Mesures quasi-invariantes sur les groupes de diffeomorphismes des varietes riemaniennes // C.R.Acad.Sci.Paris. 1995. T. 321. Serie I. P. 229–232.
Shavgulidze E. T. Some Properties of Quasi–invariant Measures on Groups of Diffeomorphisms of the Circle // Russian Journal of Mathematical Physics, 2000, v. 7, no. 4, p. 462–472.
ISTINA