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# Plurisubharmonicity

## Definition of the noun Plurisubharmonicity

What does Plurisubharmonicity mean as a name of something?

noun

1. The property of being plurisubharmonic.

## Printed encyclopedias and other books with definitions for Plurisubharmonicity

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### Stein 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, ...

### Analytic 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, ...

### Holomorphy 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 ...

### Encyclopaedia 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, ...

## Online dictionaries and encyclopedias with entries for Plurisubharmonicity

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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.