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Subjects
32-XX Several complex variables and analytic spaces
32Wxx Differential operators in several variables
32W30 Heat kernels in several complex variables

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Holomorphic functions and subelliptic heat kernels over Lie groups

Bruce Driver, Leonard Gross, Laurent Saloff-Coste (2009)

Journal of the European Mathematical Society

Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function

Magnus Carlehed, Urban Cegrell, Frank Wikström (1999)

Annales Polonici Mathematici

We characterise hyperconvexity in terms of Jensen measures with barycentre at a boundary point. We also give an explicit formula for the pluricomplex Green function in the Hartogs triangle. Finally, we study the behaviour of the pluricomplex Green function g(z,w) as the pole w tends to a boundary point.

Currently displaying 1 – 2 of 2

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