Abstract
Functional Gaussian integrals relative to a Wiener measure are considered, where both the integrand and the integration measure depend on some parameter β. Asymptotic relations are obtained for such integrals for δβ−1/2 → ∞ (δ is the deviation), when δ and β 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.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 184, pp. 26–36, 1990.
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Borzov, V.V. Asymptotic behavior of a functional Gaussian integral. J Math Sci 68, 411–418 (1994). https://doi.org/10.1007/BF01254266
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DOI: https://doi.org/10.1007/BF01254266