Klimek, Maciej Pluripotential Theory

ISBN 13: 9780198535683

Pluripotential Theory

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9780198535683: Pluripotential Theory
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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-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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

'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

Contenuti:

PART I: Complex Differentiation; Subharmonic and plurisubharmonic functions; PART II: The Complex Monge-Ampere Operator: The Dirichet problem for the Monge-Ampere operator; Maximal functions of logarithmic growth; Maximal functions with logarithmic singularities; Appendix: foliations, references; Index.

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Klimek, Maciej
Editore: Oxford
ISBN 10: 0198535686 ISBN 13: 9780198535683
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Descrizione libro Oxford. Condizione: new. Codice articolo 8078b36eabd305cfef4e9748707cfb96

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