On a measure in Wiener space and applications

被引：1

作者：

Ryu, KS ^{[1
]}

Im, MK ^{[1
]}

机构：

[1] Han Nam Univ, Dept Math, Taejon 306791, South Korea

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 355卷 / 06期

关键词：

Wiener measure; scale-invariant measurability; Fourier-Feynman transform;

D O I：

10.1090/S0002-9947-03-03190-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider a measure in Wiener space, induced by the sum of measures associated with an uncountable set of positive real numbers, and investigate the basic properties of this measure. We apply this measure to the various theories related to Wiener space. In particular, we can obtain a partial answer to Johnson and Skoug's open problems, raised in their 1979 paper. Moreover, we can improve and clarify some theories related to Wiener space.

引用

页码：2205 / 2222

页数：18

共 16 条

[1]

Brue M. D., 1972, THESIS U MINNESOTA

[2]

CAMERON RH, 1976, MICH MATH J, V23, P1

[3] THE TRANSLATION PATHOLOGY OF WIENER SPACE [J].