On a method of asymptotic expansions for infinite dimensional integrals with respect to smooth measures

Authors

  • V. Steblovskaya

DOI:

Keywords:

Smooth measure, logarithmic gradient, infinite dimensional probabilistic integrals, large parameters expansions

Abstract

We introduce a method allowing one to obtain asymptotic expansions for integrals with respect to smooth measures depending on a large parameter in infinite dimensions in the case when the phase function has a special form related to the logarithmic gradient of the measure. A number of examples is considered in details.

Published

2025-03-18

Issue

Vol. 6 No. 1 (2000)

Section

Articles

How to Cite

Steblovskaya, V. “On a Method of Asymptotic Expansions for Infinite Dimensional Integrals With Respect to Smooth Measures”. Methods of Functional Analysis and Topology, vol. 6, no. 1, Mar. 2025, pp. 3-13, https://zen.imath.kiev.ua/index.php/mfat/article/view/110.