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A Remark on Infinite Dimensional Gaussian Integral in a Sobolev Space
http://hdl.handle.net/10091/10651
18780617-a5bd-40ef-84a6-e5c1088e239f
名前 / ファイル | ライセンス | アクション | |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2010-10-06 | |||||
タイトル | ||||||
タイトル | A Remark on Infinite Dimensional Gaussian Integral in a Sobolev Space | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
ASADA, Akira
× ASADA, Akira× TANABE, Nobuhiko |
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出版者 | ||||||
出版者 | 信州大学理学部 | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 信州大学理学部紀要 32(2): 61-67(1998) | |||||
書誌情報 |
信州大学理学部紀要 巻 32, 号 2, p. 61-67, 発行日 1998-03-30 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In [2] (∞-p)-form on a k-th Sobolev space Wk(X), X a compact (spin) manifold, was defined by using Sobolev duality. Integrals of (∞-p)-form on an (∞-p)-form on a cube in Wk(X) were defined without using measure. We show when the lenghth of sides of the cube tends to ∞, infinite dimensional Gaussian integral that is principal on application converges if and only if the cube is imbedded in Wk(X), k<-d+1/2. | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0583-063X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00697923 |