SOME REMARKS ON REPRESENTATIONS OF NON-SYMMETRIC LOCAL DIRICHLET FORMS

被引：0

作者：

Hu, Ze-Chun ^{[1
]}

Ma, Zhi-Ming ^{[2
]}

Sun, Wei ^{[3
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China

[3] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada

来源：

POTENTIAL THEORY AND STOCHASTICS IN ALBAC: AUREL CORNEA MEMORIAL VOLUME, CONFERENCE PROCEEDINGS | 2009年

基金：

加拿大自然科学与工程研究理事会;

关键词：

Non-symmetric local Dirichlet form; LeJan's formula; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note., we give some remarks on the structure of non-symmetric local Dirichlet forms. We first present LeJan's transformation rule for their co-symmetric parts. Combined with the classical LeJan's Formula, it shows that essentially any local Dirichlet form must be given by differential operators (up to a killing part). Then, is applications, we use this formula to give explicit representations for local Dirichlet forms on both infinite and finite dimensional slate spaces.

引用

页码：145 / +

页数：3

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