A CHANGE OF SCALE FORMULA FOR GENERALIZED WIENER INTEGRALS II

• 발행기관: 충청수학회
• 저자명: Byoung Soo Kim Teuk Seob Song Il Yoo
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 26, No. 1, 111~123쪽, 전체 13쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2013.02.28

영문 초록

Cameron and Storvick discovered change of scale for-mulas for Wiener integrals on classical Wiener space. Yoo and Sk-oug extended this result to an abstract Wiener space. In this paper, we investigate a change of scale formula for generalized Wiener in-tegrals of various functions using the generalized Fourier{Feynman transform.

목차

1. Introduction

2. De¯nitions and preliminaries

3. A change of scale formula for functionals in S