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The method of integral representations is developed in order to establish 1. classical fundamental results of complex analysis both elementary and advanced, 2. subtle existence and regularity theorems for the Cauchy-Riemann equations on complex manifolds. These results are then applied to important function theoretic questions. The book can be used for advanced courses and seminars at the graduate level; it contains to a large extent material which has not yet been covered in text books.
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Subjects
Représentations intégrales, Cauchy-Riemann equations, Neumann, Problème de, Probleem van Cauchy, Cauchy-Riemannscher Komplex, Riemann-integralen, Integral representations, Neumann problem, Fonctions de plusieurs variables complexes, Functions of several complex variables, Cauchy-Riemann, Équations de, Algebraic number theory, Differential equations, partial, Partial Differential equations, Mathematics, Global analysis (Mathematics), AnalysisEdition | Availability |
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Cauchy-Riemann Complex: Integral Formulae and Neumann Problem
2012, Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH
in English
3322916081 9783322916082
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2
The Cauchy-Riemann Complex: Integral Formulae and Neumann Problem
Jul 27, 2012, Vieweg+Teubner Verlag
paperback
3322916103 9783322916105
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3
The Cauchy-Riemann Complex: Integral Formulae and Neumann Problem (Vieweg Aspects of Mathematics)
March 2002, Friedrick Vieweg & Son
Hardcover
in English
3528069546 9783528069544
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