본문 바로가기
KERD
논문KCI 등재

The measure-valued Dyson series and its stability theorem

1

조회

0

다운로드

5

인용

0

참고문헌

주제분류수학

초록

Abstract

In this article, we establish the existence theorem for measure-valued Dysonseries and show that it satisfies the Volterra-type integral equation. Furthermore,we prove the stability theorems for measure-valued Dyson series.

참고문헌 (16)

  1. "Weak convergence of measures", academic press, pp.1982~ (1982)
  2. "Convergence of probability measures" (1968)
  3. "An operator-valuedfunction space integral and a related integral equation", 18, pp.517~ (1968)
  4. "The Feynman integral and Feynman's operationalcalculus" (2000), Oxford Univ. Press
  5. "Operator valued measures and perturbations ofsemi-groups", 81(2), pp.161~ (1983)
  6. "The Feynman-Kac formula with aLebesgue-Stieltjes measure and Feynman's operational calculus", 76(2), pp.93~ (1987)
  7. "Strong product integration of measures and theFeynman-Kac formula with a Lebesgue-Stieltjes measure", pp.271~ (1987)
  8. "The Feynman-Kac formula with a Lebesgue-Stieltjes measure An integral equation in the general case", pp.163~ (1989)
  9. "Integration with respect to vector measure", 33(1), pp.157~ (1970)
  10. "Aspect of the theory of bounded linearoperators in L_p space" (1971), Academic Press
  11. "Probability measures on metric spaces" (1967), Academic Press
  12. K. S. Ryu, "A measure-valued analogue of Wienermeasure and the measure-valued Feynman-Kac formula", 354(12), pp.4921~4951 (2002)
  13. "An analogue of Wiener measure and its applications", 39(5), pp.801~819 (2002)
  14. "Vector measures of bounded variation", (10), pp.1703~ (1972)
  15. "A graduate course in probability" (1967), AcademicPress
  16. "Inversion of conditional expectations", 52(2), pp.631~ (1974)

관련 논문AI추천

이 간행물의 다른 논문 (13건)