The past several years have witnessed a striking number of important developments in Complex Analysis. One of the characteristics of these developments has been to bridge the gap existing between the theory of functions of one and of several complex variables. The Special Year in Complex Analysis at the University of Maryland, and these proceedings, were conceived as a forum where these new developments could be presented and where specialists in different areas of complex analysis could exchange ideas. These proceedings contain both surveys of different subjects covered during the year as well as many new results and insights. The manuscripts are accessible not only to specialists but to a broader audience. Among the subjects touched upon are Nevanlinna theory in one and several variables, interpolation problems in Cn, estimations and integral representations of the solutions of the Cauchy-Riemann equations, the complex Monge-Ampère equation, geometric problems in complex analysis in Cn, applications of complex analysis to harmonic analysis, partial differential equations.

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Book Title: Complex Analysis I
Book Subtitle: Proceedings of the Special Year Held at the University of Maryland, College Park, 1985-86
Editors: Carlos A. Berenstein
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0078339
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1987
Softcover ISBN: 978-3-540-18356-3Published: 16 September 1987
eBook ISBN: 978-3-540-47899-7Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVIII, 334
Topics: Analysis, Topological Groups, Lie Groups

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Complex Analysis I

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