Mendeley出力
＜図書＞
Introduction to the theory of distributions
| 責任表示 | F.G. Friedlander |
|---|---|
| データ種別 | 図書 |
| 版 | 2nd ed. / with additional material by M. Joshi |
| 出版情報 | Cambridge, UK ; New York : Cambridge University Press , c1998 |
| 本文言語 | 英語 |
| 大きさ | vii, 175 p. ; 24 cm |
| 概要 | The theory of distributions is an extension of classical analysis, an area of particular importance in the field of linear partial differential equations. Underlying it is the theory of topological ve...tor spaces, but it is possible to give a systematic presentation without a knowledge of this. The material in this book, based on graduate lectures given over a number of years requires few prerequisites but the treatment is rigorous throughout. From the outset, the theory is developed in several variables. It is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced. It allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution. This is done in an elementary fashion without using any involved theories. This account will be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics. The theory of distributions is an extension of classical analysis, an area of particular importance in the field of linear partial differential equations. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without a knowledge of this. The material in this book, based on graduate lectures given over a number of years requires few prerequisites but the treatment is rigorous throughout. From the outset, the theory is developed in several variables. It is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced. It allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution. This is done in an elementary fashion without using any involved theories. This account will be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics. 続きを見る |
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 |
|---|---|---|---|---|---|---|---|---|---|---|
|
|
: hbk. | 理系図3F 数理独自 | FRIE/60/1a | c1998 |
|
023211999001441 |
|
書誌詳細
| 一般注記 | Includes bibliographical references (p. [170]) and index |
|---|---|
| 著者標目 | *Friedlander, F. G. (Friedrich Gerard), 1917- Joshi, M. S. (Mark Suresh), 1969- |
| 件 名 | LCSH:Theory of distributions (Functional analysis) |
| 分 類 | LCC:QA324 DC21:515/.782 |
| 書誌ID | 1001236790 |
| ISBN | 0521640156 |
| NCID | BA41587866 |
| 巻冊次 | : hbk. ; ISBN:0521640156 : pbk. ; ISBN:0521649714 |
| 登録日 | 2009.09.18 |
| 更新日 | 2009.11.02 |