A NOTE ON THE MODIFIED CONDITIONAL YEH-WIENER INTEGRAL

  • Published : 2001.10.01

Abstract

In this paper, we first introduce the modified Yeh-Wiener integral and then consider the modified conditional Yeh-Wiener integral. Here we use the space of continuous functions on a different region which was discussed before. We also evaluate some modified conditional Yeh-Wiener integral with examples using the simple formula for the modified conditional Yeh-Wiener integral.

Keywords

References

  1. J. Korean Math. Soc. v.38 Modified conditional Yeh-Wiener integral with vector-valued conditioning function J.S. Chang
  2. Pacific J. Math. v.124 An evaluation of conditional Yeh-Wiener integrals K.S. Chang;J.M. Ahn;J.S. Chang
  3. Bull. Korean Math. Soc. v.21 Evaluation of some conditional Wiener integral K.S. Chang;J.S. Chang
  4. J. Korean Math. Soc. v.20 Conditional Yeh-Wiener integrals D.M. Chung;J.M. Ahn
  5. Mem. Fac. Sci. Kyusyu Univ. Ser. v.6 Analysis of variance applied to function space T. Kitagawa
  6. Pacific J. Math. v.135 A simple formula for conditional Wiener integrals with applications C. Park;D.L. Skoug
  7. Proc. Amer. Math. Soc. v.105 Conditional Yeh-Wiener integral with vector-valued conditioning function
  8. Proc. Amer. Math. Soc. v.115 Sample path-valued conditional Yeh-Wiener integrals and a Wiener integral equation
  9. J. Integral Eq. Appl. v.5 Generalized conditional Yeh-Wiener integrals and a Wiener integral equation
  10. J. Korean Math. Soc. v.33 Boundary-valued conditional Yeh-Wiener integrals and a Kac-Feynman integral equation
  11. Proc. Amer. Math. Soc. v.124 Multiple path-valued conditional Yeh-Wiener integrals
  12. Trans. Amer. Math. Soc. v.95 Wiener Measure in a space of functions f two variables J. Yeh
  13. Pacific J. Math. v.52 Inversion of conditional expectations
  14. Pacific J. Math. v.59 Inversion of conditional expectations