지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Cameron and Storvick discovered a change of scale formula for Wiener integral of functionals in a Banach algebra $\mathcal{S}$ on classical Wiener space. We express the analytic Feynman integral of cylinder function as a limit of Wiener integrals. Moreover we obtain the same change of scale formula as Cameron and Storvick's result for Wiener integral of cylinder function. Our result cover a restricted version of the change of scale formula by Kim.
목차
등록된 정보가 없습니다.
참고문헌 (13)
참고문헌 신청
R. H. Cameron / 1954 / The translation pathology of Wiener space / Duke Math. J 21:623~628
R. H. Cameron / 1947 / The behavior of measure and measurability under change of scale in Wiener space / Bull. Amer. Math. Soc 53:130~137
R. H. Cameron / 1980 / Some Banach algebras of analytic Feynman integrable functionals, in Analytic Functions (Kozubnik, 1979) / Lecture Notes in Math 798:18~67
R. H. Cameron / 1987 / Change of scale formulas for Wiener integral, Supplemento ai Rendiconti del Circolo Matematico di Palermo / Serie II-Numero 17:105~115
R. H. Cameron / 1987 / Relationships between the Wiener integral and the analytic Feynman integral, Supplemento ai Rendiconti del Circolo Matematico di Palermo / Serie II-Numero 17:117~133
R. H. Cameron / 1947 / The behavior of measure and measurability under change of scale in Wiener space / Bull. Amer. Math. Soc 53:130~137
R. H. Cameron / 1980 / Some Banach algebras of analytic Feynman integrable functionals, in Analytic Functions (Kozubnik, 1979) / Lecture Notes in Math 798:18~67
R. H. Cameron / 1987 / Change of scale formulas for Wiener integral, Supplemento ai Rendiconti del Circolo Matematico di Palermo / Serie II-Numero 17:105~115
R. H. Cameron / 1987 / Relationships between the Wiener integral and the analytic Feynman integral, Supplemento ai Rendiconti del Circolo Matematico di Palermo / Serie II-Numero 17:117~133
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