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Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

Livre relié | Anglais | Operator Theory: Advances and Applications | n° 205
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Description

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 ."

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Editeur:

Contenu

Nombre de pages :
300
Langue:
Anglais
Collection :
Tome:
n° 205

Caractéristiques

EAN:
9783034601979
Date de parution :
11-12-09
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
168 mm x 231 mm
Poids :
680 g

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