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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제59권 제5호
- 발행연도
- 2022.9
- 수록면
- 1,093 - 1,103 (11page)
- DOI
- 10.4134/BKMS.b210542
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초록· 키워드
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In this paper, we establish an evaluation formula to calculate the Wiener integral of polynomials in terms of natural dual pairings on abstract Wiener spaces $(H,B,\nu)$. To do this we first derive a translation theorem for the Wiener integral of functionals associated with operators in $\mathcal L(B)$, the Banach space of bounded linear operators from $B$ to itself. We then apply the translation theorem to establish an integration by parts formula for the Wiener integral of functionals combined with operators in $\mathcal L(B)$. We finally apply this parts formula to evaluate the Wiener integral of certain polynomials in terms of natural dual pairings.
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