Albeverio, S. and Mazzucchi, S. (2008) Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup. UNSPECIFIED. (Unpublished)
Abstract
Infinite dimensional oscillatory integrals with a polynomially growing phase function with a small parameter ε are studied by means of an analytic continuation technique, as well as their asymptotic expansion in the limit ε ↓ o. The results are applied to the study of the semiclassical behaviour of the trace of the heat semigroup with a polynomial potential.
Item Type: | Departmental Technical Report |
Department or Research center: | Mathematics |
Subjects: | UNSPECIFIED |
Uncontrolled Keywords: | Infinite dimensional oscillatory integrals, asymptotics, stationary phase method, Laplace method, degenerate phase, Heat kernels, polynomial potential, semiclassical limit. AMS classification: 28C20, 34E05, 35K05, 35C15, 35C20. |
Report Number: | UTM 721, February 2008 |
Repository staff approval on: | 26 Feb 2008 |
---|
Actions (login required)