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Laplace operators in gamma analysis | | D. Hagedorn
; Y. Kondratiev
; E. Lytvynov
; A. Vershik
; | | Date: |
1 Nov 2014 | | Abstract: | Let $mathbb K(mathbb R^d)$ denote the cone of discrete Radon measures on
$mathbb R^d$. The gamma measure $mathcal G$ is the probability measure on
$mathbb K(mathbb R^d)$ which is a measure-valued L’evy process with
intensity measure $s^{-1}e^{-s},ds$ on $(0,infty)$. We study a class of
Laplace-type operators in $L^2(mathbb K(mathbb R^d),mathcal G)$. These
operators are defined as generators of certain (local) Dirichlet forms. The
main result of the papers is the essential self-adjointness of these operators
on a set of ’test’ cylinder functions on $mathbb K(mathbb R^d)$. | | Source: | arXiv, 1411.0162 | | Services: | Forum | Review | PDF | Favorites | |
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