Pluripotential Theory

By: Maciej Klimek

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Hardcover | 19 December 1991 | Edition Number 6

At a Glance

Hardcover
288 Pages

Dimensions(cm)
23.39 x 15.6 x 1.75

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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.

Industry Reviews

'contains an up-to-date account of the developments from the large volume of recent work in this area, and makes the subject available for the first time to a wide audience of analysis' L'Enseignement Mathématique, 1992 'This monograph will surely become a standard work both for mathematicians wishing to learn about pluripotential theory and for those who are already actively researching in this field.' D.H. Armitage, Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts

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