Pluripotential Theory
Book Details
Format
Hardback or Cased Book
Book Series
London Mathematical Society Monographs
ISBN-10
0198535686
ISBN-13
9780198535683
Publisher
Oxford University Press
Imprint
Clarendon Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 19th, 1991
Print length
280 Pages
Weight
568 grams
Dimensions
23.70 x 16.40 x 2.10 cms
Product Classification:
Calculus & mathematical analysis
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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 notions provides the focal point of this monograph, which explores classical properties of subharmonic and plurisubharmonic functions.
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-Ampère operator. The interplay between these two notions 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.The substantial proportion of this monograph devoted to classical properties of subharmonic and plurisubharmonic functions makes the pluripotential theory available for the first time to a wide audience of analysts.
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