Albeverio, S. and Mazzucchi, S. (2008) Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup. UNSPECIFIED. (Unpublished)
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|
|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|
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