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Introduction to the Theory of Distributions. 2nd Revised edition.
・ISBN 978-0-521-64971-1 paper GB£ 48.00
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| 著者・編者 | Friedlander, F. G. / Joshi, M., |
|---|---|
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1999 |
| ページ数 | 188 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10776＞ |
解説
The theory of distributions is an extension of classical analysis which has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without presupposing a knowledge, or using more than a bare minimum, of this. This book, first published in 1999, adopts this course and is based on graduate lectures given over a number of years. The prerequisites are few, but a reasonable degree of mathematical maturity is expected of the reader, as the treatment is rigorous throughout. From the outset the theory is developed in several variables, unlike most elementary texts; it is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces.