A sequential approach to conditional wiener integrals

  • Chang, Seung-Jun (Department of Mathematics, Sogang University) ;
  • Kang, Si-Ho (Department of Mathematics, Sook Myung Womans University)
  • Published : 1992.08.01

Abstract

In this paper, motivated by [1] and [7] we give a sequential definition of conditional Wiener integral and then use this definition to evaluate conditional Wiener integral of several functions on C [0, T]. The sequential definition is defined as the limit of a sequence of finite dimensional Lebesgue integrals. Thus the evaluation of conditional Wiener integrals involves no integrals in function space [cf, 5].

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