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首页> 外文期刊>Methods of Functional Analysis and Topology >On a method of asymptotic expansions for infinite dimensional integrals with respect to smooth measures
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On a method of asymptotic expansions for infinite dimensional integrals with respect to smooth measures

机译:关于光滑度量的无穷维积分的渐近展开方法

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摘要

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 where the phase function has a special form related to the logarithmic gradient of the measure. A number of examples is considered in details.
机译:我们引入一种方法,在相位函数具有与量度对数梯度相关的特殊形式的情况下,该方法允许根据无穷维上的大参数,针对平滑量度获得积分的渐近展开。详细考虑了许多示例。

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