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Remarks on Type 0 Cylindrical Measures
http://hdl.handle.net/10083/2319
http://hdl.handle.net/10083/231930f5799f-2805-4e04-a39c-c1765ae0334c
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00004830605.pdf (353.3 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-04-30 | |||||
| タイトル | ||||||
| タイトル | Remarks on Type 0 Cylindrical Measures | |||||
| 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 |
Maeda, Michie
× Maeda, Michie |
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| 著者(ヨミ) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 70301 | |||||
| 姓名 | マエダ, ミチエ | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | For a probability measure μ defined on a finite dimensional space R^n, we have another measure as follows: λ(=∫_<u∈O(n)>μ(u()dm_n(u), where O(n) is the family of all unitary operators on R^n and m_n is the normalized Haar measure defined on O(n). Thus we can make a rotationally invariant measure λ from μ. λ is an average of μ with respect to rotations. Can we have the same result about cylindrical measures on an infinite dimensional space? The answer is "yes" for special kinds of cylindrical measures, for example, (strongly) rotationally quasi-invariant ((S)RQI) cylindrical measures (in fact, these coincide with RQI-cylindrical measures [5]). In the former half part of this paper, we treat the above problem for type 0-cylindrical measures. We present the main result in chapter 1. The latter half part gives a detailed account of the relation between Shimomura's result ([5]) and GRQI-cylindrical measures ([2]) concerning the case of type 0-cylindrical measures. | |||||
| 書誌情報 |
お茶の水女子大學自然科學報告 巻 36, 号 1, p. 71-76, 発行日 1985-07 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00298190 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AN00033958 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 形態 | ||||||
| 353263 bytes | ||||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 400 | |||||
| 出版者 | ||||||
| 出版者 | お茶の水女子大学 | |||||
| 資源タイプ | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 紀要論文 | |||||
| 資源タイプ・ローカル | ||||||
| 紀要論文 | ||||||
| 資源タイプ・NII | ||||||
| Departmental Bulletin Paper | ||||||
| 資源タイプ・DCMI | ||||||
| text | ||||||
| 資源タイプ・ローカル表示コード | ||||||
| 03 | ||||||
| 所属 | ||||||
| Department of Mathematics, Ochanomizu University | ||||||
