Positive continuous additive functionals of multidimensional Brownian motion, and the Brownian local time

被引:1
作者
Uemura, Hideaki [1 ]
机构
[1] Aichi Univ Educ, Dept Math Educ, Aichi 4488542, Japan
来源
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2007年 / 47卷 / 02期
关键词
D O I
10.1215/kjm/1250281051
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:371 / 390
页数:20
相关论文
共 16 条
[1]  
[Anonymous], J MATH SOC JPN
[3]  
Dynkin E.B., 1965, MARKOV PROCESSES, V1
[4]   DECOMPOSITION OF ADDITIVE FUNCTIONALS OF FINITE-ENERGY [J].
FUKUSHIMA, M .
NAGOYA MATHEMATICAL JOURNAL, 1979, 74 (JUL) :137-168
[5]  
FUKUSHIMA M., 1994, DEGRUYTER STUDIES MA, V19
[6]  
Ikeda N., 1989, STOCHASTIC DIFFERENT, DOI DOI 10.1002/BIMJ.4710320720
[7]   THE ASYMPTOTIC-BEHAVIOR OF LOCAL-TIMES AND OCCUPATION INTEGRALS OF THE N-PARAMETER WIENER PROCESS IN R(D) [J].
IMKELLER, P ;
WEISZ, F .
PROBABILITY THEORY AND RELATED FIELDS, 1994, 98 (01) :47-75
[8]   CHAOS EXPANSIONS OF DOUBLE INTERSECTION LOCAL TIME OF BROWNIAN-MOTION IN R(D) AND RENORMALIZATION [J].
IMKELLER, P ;
PEREZABREU, V ;
VIVES, J .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1995, 56 (01) :1-34
[9]  
MCKEAN HP, 1961, MEM COLL SCI U KYOTO, V33, P479
[10]   A certain class of distribution-valued additive functionals I - for the case of Brownian motion [J].
Nakajima, T .
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2000, 40 (02) :293-314