Pseudo-Differential Operators (Operator Theory: Advances and Applications, Vol.205)
Schulze, Bert-Wolfgang,
Wong, M. W.
編
発行年月 |
2009年12月 |
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出版国 |
スイス |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
hardcover |
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ページ数/巻数 |
300 p. |
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ジャンル |
洋書/理工学/数学/解析学 |
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ISBN |
9783034601979 |
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商品コード |
0201240932 |
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本の性格 |
学術書 |
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商品URL
| https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0201240932 |
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内容
The International Workshop on Pseudo-Di?erential Operators: Complex Analysis and Partial Di?erential Equations was held at York University on August 4–8, 2008. The ?rst phase of the workshop on August 4–5 consisted of a mini-course on pseudo-di?erential operators and boundary value problems given by Professor Bert-Wolfgang Schulze of Universita ¨t Potsdam for graduate students and po- docs. This was followed on August 6–8 by a conference emphasizing boundary value problems;explicit formulas in complex analysis and partialdi?erential eq- tions; pseudo-di?erential operators and calculi; analysis on the Heisenberg group and sub-Riemannian geometry; and Fourier analysis with applications in ti- frequency analysis and imaging. The role of complex analysis in the development of pseudo-di?erential op- ators can best be seen in the context of the well-known Cauchy kernel and the related Poisson kernel in, respectively, the Cauchy integral formula and the Po- son integral formula in the complex plane C. These formulas are instrumental in solving boundary value problems for the Cauchy-Riemann operator? and the Laplacian?onspeci?cdomainswith theunit disk andits biholomorphiccomp- ion, i. e. , the upper half-plane, as paradigm models. The corresponding problems in several complex variables can be formulated in the context of the unit disk n n in C , which may be the unit polydisk or the unit ball in C .