Laplace operators on differential forms over configuration spaces

Authors
Albeverio, S Daletskii, A Lytvynov, E
Citation
S. Albeverio et al., Laplace operators on differential forms over configuration spaces, J GEOM PHYS, 37(1-2), 2001, pp. 15-46
Citations number
38
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
37
Issue
1-2
Year of publication
2001
Pages
15 - 46
Database
ISI
SICI code
0393-0440(200101)37:1-2<15:LOODFO>2.0.ZU;2-J
Abstract
Spaces of differential forms over configuration spaces with Poisson measure s are constructed. The corresponding Laplacians (of Bochner and de Rham typ e) on forms and associated semigroups are considered. Their probabilistic i nterpretation is given. (C) 2001 Elsevier Science B.V. All rights reserved. MSC: 60G57; 58A10.