ANALYTIC OPERATOR-VALUED GENERALIZED FEYNMAN INTEGRALS ON FUNCTION SPACE

• 발행기관: 충청수학회
• 저자명: Seung Jun Chang Il Yong Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 1, 37~48쪽, 전체 12쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.03.30

영문 초록

In this paper we use a generalized Brownian motion process to defined an analytic operator-valued generalized Feynman integral. We then obtain explicit formulas for the analytic operatorvalued generalized Feynman integrals for functionals of the form F(x) = fZ T01(t)dx(t), · · · ,Z T0n(t)dx(t),where x is a continuous function on [0, T] and {1, · · · , n} is anorthonormal set of functions from (L2a,b[0, T], k · ka,b).

목차

1. Introduction

2. Definitions and preliminaries

3. Analytic operator-valued function space integral of finite dimensional functionals

4. Analytic operator-valued generalized Feynman integral

References