Plurisubharmonic Functions

Paul M. Gauthier
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Paul M. Gauthier: Université de Montréal, Départment de Mathématiques et de Statistique

Chapter Chapter 8 in Lectures on Several Complex Variables, 2014, pp 39-50 from Springer

Abstract: Abstract Potential theory enters the scene via plurisubharmonic functions. They form a bridge between potential theory and complex analysis, for they include the important functions ℜ f and log | f | , when f is holomorphic. They provide a powerful tool because of their great flexibility. They are not as rigid as holomorphic functions. For example, a plurisubharmonic can be zero on an open subset of a domain, without being zero everywhere on the domain.

Keywords: Plurisubharmonic Function; Holomorphic Function; Complex Hessian Matrix; Subharmonic Functions; Complex Line (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-11511-5_8

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