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Pseudo-Differential Operators : Complex Analysis and Partial Differential Equations. 2010 ed..
・ISBN 978-3-0346-0197-9 hard EUR 99.99
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| 著者・編者 | Schulze, Bert-Wolfgang / Wong, M. W. (eds.), |
|---|---|
| シリーズ | Operator Theory: Advances and Applications |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2009 |
| ページ数 | 300 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-20685> |
解説
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 .