Mendeley出力
＜図書＞
Difference spaces and invariant linear forms
| 責任表示 | Rodney Nillsen |
|---|---|
| シリーズ | Lecture notes in mathematics ; 1586 |
| データ種別 | 図書 |
| 出版情報 | Berlin ; New York : Springer-Verlag , c1994 |
| 本文言語 | 英語 |
| 大きさ | xii, 186 p. ; 24 cm |
| 概要 | Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (...n) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work. Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/7017746 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | SER/LNM/1586 | 1994 |
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068222195005215 |
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理系図 自動書庫 | 410.8/L 493/(1586) | 1994 |
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068582195000485 |
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: gw | 数理 雑誌室 | SER/LNM/K1586 | 1994 |
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068252195010590 | 410.8 |
書誌詳細
| 一般注記 | Includes bibliography (p. 175-177) and indexes of authors, subjects and symbols |
|---|---|
| 著者標目 | Nillsen, Rodney Victor, 1945- |
| 件 名 | LCSH:Harmonic analysis LCSH:Fourier transformations LCSH:Singular integrals |
| 分 類 | LCC:QA3 LCC:QA403 DC20:510 s DC20:515/.785 NDC8:410.8 |
| 書誌ID | 1000035984 |
| ISBN | 3540583238 |
| NCID | BA23906758 |
| 巻冊次 | : gw ; ISBN:3540583238 : us ; ISBN:0387583238 |
| 登録日 | 2009.09.10 |
| 更新日 | 2017.02.18 |