Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations : International Workshop, York University, Canada, August 4-8, 2008

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ISBN 10: 3034601972 / ISBN 13: 9783034601979

Published by Springer Basel AG, 2009

About this Item

Zustand: Sehr gut | Seiten: 300 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

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Bibliographic Details

• Title: Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations : International Workshop, York University, Canada, August 4-8, 2008
• Publisher: Springer Basel AG
• Publication Date: 2009
• Language: English
• ISBN 10: 3034601972
• ISBN 13: 9783034601979
• Binding: Hardcover
• Condition: Sehr gut
• Seller catalogs:
  • Bücher

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Synopsis

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 .