Mendeley出力
＜図書＞
White noise calculus and Fock space
| 責任表示 | Nobuaki Obata |
|---|---|
| シリーズ | Lecture notes in mathematics ; 1577 |
| データ種別 | 図書 |
| 出版情報 | Berlin ; Tokyo : Springer-Verlag , c1994 |
| 本文言語 | 英語 |
| 大きさ | ix, 183 p. ; 24 cm |
| 概要 | White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well...established theory of nuclear space.This self-contained monograph presents, for the first time, a systematic introduction to operator theory on fock space by means of white noise calculus. The goal is a comprehensive account of general expansion theory of Fock space operators and its applications. In particular, first order differential operators, Laplacians, rotation group, Fourier transform and their interrelations are discussed in detail w.r.t. harmonic analysis on Gaussian space. The mathematical formalism used here is based on distribution theory and functional analysis, prior knowledge of white noise calculus is not required. White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well-established theory of nuclear space.This self-contained monograph presents, for the first time, a systematic introduction to operator theory on fock space by means of white noise calculus. The goal is a comprehensive account of general expansion theory of Fock space operators and its applications. In particular, first order differential operators, Laplacians, rotation group, Fourier transform and their interrelations are discussed in detail w.r.t. harmonic analysis on Gaussian space. The mathematical formalism used here is based on distribution theory and functional analysis, prior knowledge of white noise calculus is not required. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6797769 |
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/1577 | 1994 |
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068222194003576 |
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理系図 自動書庫 | 410.8/L 493/(1577) | 1994 |
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068582194011118 |
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: gw | 数理 雑誌室 | SER/LNM/K1577 | 1994 |
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068252195010548 | 410.8 |
書誌詳細
| 別書名 | 異なりアクセスタイトル:Fock space |
|---|---|
| 一般注記 | Includes bibliographical references (p. [171]-180) and index |
| 著者標目 | *尾畑, 伸明(1957-) <オバタ, ノブアキ> |
| 件 名 | LCSH:Gaussian processes LCSH:Wiener integrals |
| 分 類 | NDC8:410.8 LCC:QA3 LCC:QA274.4 DC20:510 s DC20:515/.782 |
| 書誌ID | 1000037250 |
| ISBN | 3540579850 |
| NCID | BA22763349 |
| 巻冊次 | : gw ; ISBN:3540579850 : us ; ISBN:0387579850 |
| 登録日 | 2009.09.10 |
| 更新日 | 2017.02.18 |