Complex Analysis Several Complex Variables and Connections with PDE

This is a reference book for academics working in the fields of several complex variables, PDE theory and geometry. The book collects articles on most recent developments in these fields with special emphasis on interactions between them. It includes intr

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Trends in Mathematics is a series devoted to the publication of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to quality and to archive these for reference. Proposals for volumes can be sent to the Mathematics Editor at either Springer Basel AG Birkhäuser P.O. Box 133 CH-4010 Basel Switzerland or Birkhauser Boston 233 Spring Street New York, NY 10013 USA

Material submitted for publication must be screened and prepared as follows: All contributions should undergo a reviewing process similar to that carried out by journals and be checked for correct use of language which, as a rule, is English. Articles without proofs, or which do not contain any significantly new results, should be rejected. High quality survey papers, however, are welcome. We expect the organizers to deliver manuscripts in a form that is essentially ready for direct reproduction. Any version of TeX is acceptable, but the entire collection of files must be in one particular dialect of TeX and unified according to simple instructions available from Birkhäuser. Furthermore, in order to guarantee the timely appearance of the proceedings it is essential that the final version of the entire material be submitted no later than one year after the conference. The total number of pages should not exceed 350. The first-mentioned author of each article will receive 25 free offprints. To the participants of the congress the book will be offered at a special rate.

Complex Analysis Several Complex Variables and Connections with PDE Theory and Geometry

Peter Ebenfelt Norbert Hungerbühler Joseph J. Kohn Ngaiming Mok Emil J. Straube Editors

Birkhäuser

Editors: Peter Ebenfelt Department of Mathematics University of California, San Diego (UCSD) 9500 Gilman Drive # 0112 La Jolla, CA 92093-0112, USA e-mail: [email protected]

Ngaiming Mok Department of Mathematics The University of Hong Kong Pokfulam Road Hong Kong SAR, China e-mail: [email protected]

Norbert Hungerbühler Department of Mathematics University of Fribourg Chemin du musée 23 1700 Fribourg, Switzerland e-mail: [email protected]

Emil J. Straube Department of Mathematics Texas A&M University College Station, TX 77843, USA e-mail: [email protected]

Joseph J. Kohn Department of Mathematics Fine Hall, Washington Road Princeton, NJ 08544-1000, USA [email protected] 2000 Mathematics Subject Classification 32-06 Library of Congress Control Number: 2010926412 Bibliographic information published by Die Deutsche Bibliothek. Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de

ISBN 978-3-0346-0008-8 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, repr