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Paul Levy's Continuity Theorem : Some History and Recent Progress
http://hdl.handle.net/10105/114
http://hdl.handle.net/10105/11471035e05-52da-457c-91ec-99fb530e2a0b
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
54-2-02-2005.pdf (222.1 kB)
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| アイテムタイプ | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
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| 公開日 | 2010-06-10 | |||||||||
| タイトル | ||||||||||
| タイトル | Paul Levy's Continuity Theorem : Some History and Recent Progress | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| キーワード | ||||||||||
| 主題 | measures on topological groups, continuity theorem of probability theory, continuity of the Fourier transform, locally compact hypergroups | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||
| 著者 |
HEYER, Herbert
× HEYER, Herbert
× KAWAKAMI, Satoshi
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| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | In the present paper, we choose a sufficiently general setting for the most prominent Levy continuity properties and intend to present a large portion of the existing knowledge organized along the two leading approaches settling the problem for nuclear groups (including nuclear locally convex spaces) and for locally compact hypergroups (including locally compact groups) respectively. While the first approach (Boulicaut - Banaszczyk) depends on the commutativity of the underlying structure and therefore follows the lines of classical harmonic analysis, the second one (Teleman - Edwards) is geometric in nature; it employs topological convexity theory. | |||||||||
| 書誌情報 |
奈良教育大学紀要. 自然科学 巻 54, 号 2, p. 11-21, 発行日 2005-10-31 |
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| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 05472407 | |||||||||
| 書誌レコードID | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AN00181070 | |||||||||
| 著者版フラグ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版者 | ||||||||||
| 出版者 | 奈良教育大学 | |||||||||
