Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup

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 (Unpublished)

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    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

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