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)
- "Weak convergence of measures", academic press, pp.1982~ (1982)
- "Convergence of probability measures" (1968)
- "An operator-valuedfunction space integral and a related integral equation", 18, pp.517~ (1968)
- "The Feynman integral and Feynman's operationalcalculus" (2000), Oxford Univ. Press
- "Operator valued measures and perturbations ofsemi-groups", 81(2), pp.161~ (1983)
- "The Feynman-Kac formula with aLebesgue-Stieltjes measure and Feynman's operational calculus", 76(2), pp.93~ (1987)
- "Strong product integration of measures and theFeynman-Kac formula with a Lebesgue-Stieltjes measure", pp.271~ (1987)
- "The Feynman-Kac formula with a Lebesgue-Stieltjes measure An integral equation in the general case", pp.163~ (1989)
- "Integration with respect to vector measure", 33(1), pp.157~ (1970)
- "Aspect of the theory of bounded linearoperators in L_p space" (1971), Academic Press
- "Probability measures on metric spaces" (1967), Academic Press
- K. S. Ryu, "A measure-valued analogue of Wienermeasure and the measure-valued Feynman-Kac formula", 354(12), pp.4921~4951 (2002)
- "An analogue of Wiener measure and its applications", 39(5), pp.801~819 (2002)
- "Vector measures of bounded variation", (10), pp.1703~ (1972)
- "A graduate course in probability" (1967), AcademicPress
- "Inversion of conditional expectations", 52(2), pp.631~ (1974)
관련 논문AI추천
The operational calculus for a measure-valued Dyson series류근식대한수학회 · 대한수학회지2006 · 제43권 제4호Convergence theorems in measures for the operator-valued Feynman integralByung Moo Ahn대한수학회 · 대한수학회논문집2002 · 제17권 제1호New results on stability properties for the Feynman integral via additive functionalsJung-Ah Lim대한수학회 · 대한수학회지2002 · 제39권 제4호An analogue of Wiener measure and its applications류근식, 임만규대한수학회 · 대한수학회지2002 · 제39권 제5호On the large deviation property of random measures on the $d$-dimensional Euclidean spaceDae Sik Hwang대한수학회 · 대한수학회논문집2002 · 제17권 제1호Quantum dynamical semigroup and its asymptotic behaviors최베니대한수학회 · 대한수학회보2004 · 제41권 제1호
이 간행물의 다른 논문 (13건)
The groups of self pair homotopy equivalences이기영pp. 491-506Jordan automorphic generators of Euclidean Jordan Algebras임용도, 김정화pp. 507-528A central limit theorem for general weighted sums of LPQD random variables and its application고미화, 김현철, 김태성pp. 529-538Linear preservers of Boolean nilpotent matrices전영배, 송석준, 강경태pp. 539-552The enumeration of doubly alternating Baxter permutations민숙, 박승경pp. 553-561
