Laplace operators on differential forms over configuration spaces
β Scribed by Sergio Albeverio; Alexei Daletskii; Eugene Lytvynov
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 211 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0393-0440
No coin nor oath required. For personal study only.
β¦ Synopsis
Spaces of differential forms over configuration spaces with Poisson measures are constructed. The corresponding Laplacians (of Bochner and de Rham type) on forms and associated semigroups are considered. Their probabilistic interpretation is given.
π SIMILAR VOLUMES
In this article we consider a class of functions, called D-polynomials, which are contained in the null space of certain second order differential operators with constant coefficients. The class of splines generated by these D-polynomials strictly contains the polynomial, trigonometric, and hyperbol