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portada Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations
Pseudo-Differential Operators: Complex Analysis and Partial Differential EquationsPseudo-Differential Operators: Complex Analysis and Partial Differential EquationsPseudo-Differential Operators: Complex Analysis and Partial Differential Equations
Type
Physical Book
Publisher
Author
Language
English
Pages
300
Format
Hardcover
Dimensions
23.1 x 16.8 x 2.3 cm
Weight
0.68 kg.
ISBN
9783034601979
ISBN13
9783034601979
Categories

Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

Schulze, Bert-Wolfgang ; Wong, M. W. (Author) · Birkhauser · Hardcover

Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations - Schulze, Bert-Wolfgang ; Wong, M. W.

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Synopsis "Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations"

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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