Asymptotics of Gaussian integrals in infinite dimensions

Albeverio Sergio; Steblovskaya Victoria

首页> 外文期刊>Infinite dimensional analysis, quantum probability, and related topics >Asymptotics of Gaussian integrals in infinite dimensions

【24h】

Asymptotics of Gaussian integrals in infinite dimensions

机译：无限尺寸高斯积分的渐近学

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We introduce an infinite-dimensional version of the classical Laplace method, in its original form, relative to a canonical Gaussian measure associated with a Hilbert space, and for a general phase function. Particular attention is given to the case of a phase function with finite-dimensional degeneracy. Explicit results on expansions in the form of power series in the relevant parameter, with estimates on remainders, are provided.

机译：我们在其原始形式中引入了古典拉普拉斯方法的无限维版本，相对于与Hilbert空间相关的规范高斯措施，以及一般相位函数。特别注意具有有限尺寸退化的相位函数的情况。提供了相关参数中电力系列形式的扩展的显式结果，提供了剩余者的估计。

著录项

来源
《Infinite dimensional analysis, quantum probability, and related topics》 |2019年第1期|共28页
作者
Albeverio Sergio; Steblovskaya Victoria;
展开▼
作者单位

Univ Bonn Inst Angew Math Endenicher Allee 60 D-53115 Bonn Germany;

Bentley Univ Dept Math Sci 175 Forest St Waltham MA 02452 USA;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Asymptotic expansions; Gaussian integrals on Hilbert spaces; Laplace method; degenerate phase function;

机译：渐近扩张;希尔伯特空间上的高斯积分;拉普拉斯方法;退化相位函数;

相似文献

外文文献
中文文献
专利

1. Asymptotics of Gaussian integrals in infinite dimensions [J] . Albeverio Sergio, Steblovskaya Victoria Infinite dimensional analysis, quantum probability, and related topics . 2019,第1期

机译：无限尺寸高斯积分的渐近学
2. Heat kernel asymptotics, path integrals and infinite-dimensional determinants [J] . Ludewig Matthias Journal of geometry and physics . 2018,第期

机译：热核渐近学，路径积分和无限尺寸决定簇
3. On a method of asymptotic expansions for infinite dimensional integrals with respect to smooth measures [J] . V. Steblovskaya Methods of Functional Analysis and Topology . 2000,第1期

机译：关于光滑度量的无穷维积分的渐近展开方法
4. Small noise asymptotic expansion for the infinite dimensional Van der Pol oscillator [C] . FRANCESCO CORDONI, LUCA DI PERSIO International Conference on Applied Mathematics, Simulation, Modelling . 2014

机译：无限van der POL振荡器的小噪声渐近扩展
5. Asymptotic properties of recursivem-estimators in an infinite-dimensional Hilbert space [D] . Chen, Xiaohong. 1993

机译：无限维希尔伯特空间中递归估计的渐近性质
6. Exactification of the Poincaré asymptotic expansion of the Hankel integral: spectacularly accurate asymptotic expansions and non-asymptotic scales [O] . Eric A. Galapon, Kay Marie L. Martinez -1

机译：Hankel积分的Poincaré渐近展开的实现：精确的渐近展开和非渐近标度
7. Heat Kernel Asymptotics, Path Integrals and Infinite-Dimensional Determinants [O] . Ludewig, Matthias 2016

机译：热核渐近，路径积分和无限维决定因素
8. Information Capacity of the Matched Gaussian Channel with Jamming. 2. Infinite-Dimensional Channels [R] . Baker, C. R., Chao, I. F. 1990

机译：具有干扰的匹配高斯信道的信息容量。 2.无限维渠道

Asymptotics of Gaussian integrals in infinite dimensions

摘要

著录项

相似文献

相关主题

期刊订阅