| Abstract: | Functional Gaussian integrals relative to a Wiener measure are considered, where both the integrand and the integration measure depend on some parameter  . Asymptotic relations are obtained for such integrals for  –1/2   ( is the deviation), when and tend to 0. Such relations are useful in the investigation of the asymptotic behavior of expressions of the partition function type tr exp (—tH) for t 0.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 184, pp. 26–36, 1990. |
