A CHANGE OF SCALE FORMULA FOR WIENER INTEGRALS ON THE PRODUCT ABSTRACT WIENER SPACES

  • Kim, Young-Sik (Global Analysis Research Center Department of Mathematics Seoul Notional University) ;
  • Ahn, Jae-Moon (Department of Mathematics Education Kon-kuk University ) ;
  • Chang, Kun-Soo (Department of Mathematics Yonsei University ) ;
  • Il Yoo (Department of Mathematics Yonsei University )
  • Published : 1996.05.01

Abstract

It has long been known that Wiener measure and Wiener measurbility behave badly under the change of scale transformation [3] and under translation [2]. However, Cameron and Storvick [4] obtained the fact that the analytic Feynman integral was expressed as a limit of Wiener integrals for a rather larger class of functionals on a classical Wienrer space.

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