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Analysis and geometry on $R_+$-marked configuration spaces

Autor: Kondratiev, Yu. G., Lytvynov, E. W., Us, G. F.

Publikováno v: Meth. Funct. Anal. Topol. 5 (1999), no.1, 29-64

We carry out analysis and geometry on a marked configuration space $\Omega_X^{R_+}$ over a Riemannian manifold $X$ with marks from the space $R_+$ as a natural generalization of the work {\bf [}{\it J. Func. Anal}. {\bf 154} (1998), 444--500{\bf ]}.

Externí odkaz: http://arxiv.org/abs/math/0608347

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Analysis and geometry on marked configuration spaces

Autor: Albeverio, S., Kondratiev, Yu. G., Lytvynov, E. W., Us, g. F.

Publikováno v: Published in "Infinite Dimensional Harmonic Analysis (Kyoto, September 20-24, 1999)", (H. Heyer et al., eds), pp. 1-39, Gr\"abner, Altendorf, 2000

We carry out analysis and geometry on a marked configuration space $\Omega^M_X$ over a Riemannian manifold $X$ with marks from a space $M$. We suppose that $M$ is a homogeneous space $M$ of a Lie group $G$. As a transformation group $\frak A$ on $\Om

Externí odkaz: http://arxiv.org/abs/math/0608344

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Gamma Noise Analysis

Autor: Gorbunov, A. V., Us, G. F.

We study an infinite dimensional analysis with respect to the measure on Schwartz space of tempered distributions, corresponding to the distributional derivative of gamma process. Laguerre polynomials being orthogonal with respect to gamma noise meas

Externí odkaz: http://arxiv.org/abs/funct-an/9702005

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