Pluripotential Theory

Pluripotential Theory

by Maciej Klimek
     
 

Pluripotential theory is a recently developed non-linear complex counterpart of classical potential theory. Its main area of application is multidimensional complex analysis. The central part of the pluripotential theory is occupied by maximal plurisubharmonic functions and the generalized complex Monge-Ampere operator. The interplay between these two concepts

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Overview

Pluripotential theory is a recently developed non-linear complex counterpart of classical potential theory. Its main area of application is multidimensional complex analysis. The central part of the pluripotential theory is occupied by maximal plurisubharmonic functions and the generalized complex Monge-Ampere operator. The interplay between these two concepts provides the focal point of this monograph, which contains an up-to-date account of the developments from the large volume of recent work in this area. A substantial proportion of the work is devoted to classical properties of subharmonic and plurisubharmonic functions, which makes the pluripotential theory available for the first time to a wide audience of analysts.

Product Details

ISBN-13:
9780198535683
Publisher:
Oxford University Press, USA
Publication date:
01/28/1992
Series:
London Mathematical Society Monographs Series, #6
Pages:
288
Product dimensions:
6.50(w) x 9.50(h) x 0.88(d)

Meet the Author

University College, Dublin

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