详细书目
| 材料类型: | 互联网资源 |
|---|---|
| 文件类型: | 书, 互联网资源 |
| 所有的著者/提供者: |
F G Friedlander; M S Joshi |
| ISBN: | 0521640156 9780521640152 0521649714 9780521649711 |
| OCLC号码: | 39532660 |
| 描述: | vii, 175 p. ; 24 cm. |
| 内容: | 1. Test functions and distributions -- 2. Differentiation, and multiplication by smooth functions -- 3. Distributions with compact support -- 4. Tensor products -- 5. Convolution -- 6. Distribution kernels -- 7. Coordinate transformations and pullbacks -- 8. Tempered distributions and Fourier transforms -- 9. Plancherel's theorem, and Sobolev spaces -- 10. The Fourier-Laplace transform -- 11. The calculus of wavefront sets -- App. topological vector spaces. |
| 更多信息: |
摘要:
"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 adopts this course and is based on graduate lectures given over a number of years." "This account should be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics."--BOOK JACKET.
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