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Introduction to the theory of distributions.
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Introduction to the theory of distributions.

著者: F G Friedlander; M S Joshi
出版商: Cambridge, UK ; New York : Cambridge University Press, ©1998.
版本/格式:   图书 : 英语 : 2nd ed.查看所有的版本和格式
提要:
"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  再读一些...
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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.
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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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