The Cauchy-Riemann Complex
Integral Formulae and Neumann Problem
Published on 28. March 2002
Book
Hardback
X, 362 pages
978-3-528-06954-4 (ISBN)
Description
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.
More details
Series
Edition
2002
Language
English
Place of publication
Wiesbaden
Germany
Publishing group
Vieweg & Teubner
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 24 cm
Width: 17 cm
Weight
732 gr
ISBN-13
978-3-528-06954-4 (9783528069544)
DOI
10.1007/978-3-322-91608-2
Schweitzer Classification
Other editions
Additional editions
Book
07/2012
Vieweg+Teubner Verlag
€53.49
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Persons
Prof. Dr. Ingo Lieb ist Professor für Mathematik an der Universität Bonn. Er ist Autor der beiden Bücher "Funktionentheorie" und "Ausgewählte Kapitel aus der Funktionentheorie" in der Reihe vieweg studium/Aufbaukurs Mathematik.
Prof. Dr. Joachim Michel ist Professor für Mathematik am "Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville" (L.M.P.A.) in Calais, Frankreich.
Prof. Dr. Joachim Michel ist Professor für Mathematik am "Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville" (L.M.P.A.) in Calais, Frankreich.
Content
The Bochner-Martinelli formula - The Koppelman calculus - Strictly pseudoconvex domains and Levi's problem - Hodge theory on compact manifolds - Levi´s problem on strictly pseudoconvex manifolds - Friedrichs' extension lemma and formulation of the Neumann problem - Solution of the Neumann problem on strictly pseudoconvex
manifolds - Applications - Function spaces and regularity of integral operators.
manifolds - Applications - Function spaces and regularity of integral operators.