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Header of plurisubharmonicity


Definition of the noun Plurisubharmonicity

What does Plurisubharmonicity mean as a name of something?


  1. The property of being plurisubharmonic.

Printed encyclopedias and other books with definitions for Plurisubharmonicity

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Google previewStein Manifolds and Holomorphic Mappings (2017)

The Homotopy Principle in Complex Analysis by Franc Forstnerič

Plurisubharmonicity is a local property: A function is plurisubharmonic if and only if it is such in an open neighborhood of any point. The maximum principle: If u e Psh(X) has a local maximum at some point, then u is constant on the respective connected component of X. • If ui e Psh (X) and c > 0 for j = 1,..., k then X - couj e Psh(X). • If u je Psh(X) for j = 1,..., k then max{u 1, ...

Google previewAnalytic Function Theory of Several Variables (2016)

Elements of Oka’s Coherence by Junjiro Noguchi

The plurisubharmonicity is a local property. (ii) Let U,V be open subsets of Cn, and let f : V → U be a holomorphic map. Then the pull-back f ∗φ = φ ◦ f of a plurisubharmonic function φ in U is plurisubharmonic in V. If f is biholomorphic, the converse is also true. Supplements: We would like to state three theorems on plurisubharmonic functions. Each of them is very interesting, but independent of the theoretical development of the present book and not necessary there, ...

Google previewHolomorphy and Convexity in Lie Theory (2000)

by Karl-Hermann Neeb

Next we recall that plurisubharmonicity is a local property (cf. [H673, Cor. 1.6.5]), so that it suffices to assume that G ...

Google previewEncyclopaedia of Mathematics (2013)

A-Integral — Coordinates by M. Hazewinkel

If p is twice continuously differentiable, then the condition of plurisubharmonicity, in accordance with the rules of differentiation of composite functions, is that the Hermitian form H(w, ...

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Video about Plurisubharmonicity

Plurisubharmonicity Meaning

Video shows what plurisubharmonicity means. The property of being plurisubharmonic.. Plurisubharmonicity Meaning. How to pronounce, definition audio ...

Scrabble value of P3L1U1R1I1S1U1B3H4A1R1M3O1N1I1C3I1T1Y4

The value of this 19-letter word is 33 points. Since it has more than 15 letters, it can be played on Super Scrabble board only.

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