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# Pseudoconvexity

## Definition of the noun Pseudoconvexity

What does Pseudoconvexity mean as a name of something?

noun

1. The property of being pseudoconvex.

## Explanation

Pseudoconvexity: In mathematics, more precisely in the theory of functions of several complex variables, a pseudoconvex set is a special type of open set in the n-dimensional complex space Cⁿ. Pseudoconvex sets are important, as they allow for classification of domains of holomorphy.

## Printed encyclopedias and other books with definitions for Pseudoconvexity

Click on a title to look inside that book (if available):

### Global Lorentzian Geometry, Second Edition (1996)

by John K. Beem, Paul Ehrlich, Kevin Easley

Pseudoconvexity is a type of "internal" completeness condition in somewhat the same sense ...

### Lectures on the L2-Sobolev Theory of the [d-bar]-Neumann Problem (2010)

by Emil J. Straube

Pseudoconvexity is a local property of the boundary; consequently, locally convexifiable domains are pseudocon- vex. Note that convex domains are Lipschitz (see for example [218], Section 1.1.8); therefore, so are locally convexifiable ...

### GROUP 24 (2003)

Physical and Mathematical Aspects of Symmetries: Proceedings of the 24th International Colloquium on Group Theoretical Methods in Physics, Paris, 15-20 July 2002 by J.P Gazeau, R Kerner, J.P Antoine, S Metens, J.Y Thibon

Pseudoconvexity is a kind of "holomorphic completeness": Q is not pseudoconvex if 3Q D Q such that any / e Hol(Q) extends ...

### Differential Geometry, Calculus of Variations, and Their Applications (1985)

by George M. Rassias, Themistocles M. Rassias

As is by now well known, pseudoconvexity is a sufficient condition for solvability for operators of real principal type. Stability of solvability for these operators supports the validity of (at least the results of) certain perturbation techniques used in ...

### The Geometry of Complex Domains (2011)

by Robert E. Greene, Kang-Tae Kim, Steven G Krantz

Strong pseudoconvexity is an open condition: a C2 small perturbation of a strongly pseudoconvex domain yields a domain that is again strongly pseudoconvex. This makes it natural to consider the question of stability under small ...

### Theory of Functions on Complex Manifolds (2013)

by HENKIN, LEITERER

Then W m D has C*-boundary, and since, for C2 open sets, strict pseudoconvexity is a local property of the boundary (this follows from Theorem 1.5.17 or from Theorem 1.5.25), we obtain that W n D is a C*-strictly pseudoconvex open set.

### Complex Analysis (2011)

by Peter Ebenfelt, Norbert Hungerbühler, Joseph J. Kohn, Ngaiming Mok, Emil J. Straube

Each smoothly bounded domain has an open subset of strongly pseudoconvex boundary points; the point farthest from the origin must be strongly pseudoconvex , and strong pseudoconvexity is an open condition. Subelliptic estimates arise ...

### Analytic and Algebraic Geometry (2010)

Common Problems, Different Methods by Jeffery D. McNeal, Mircea Mustata

The analogue of strong pseudoconvexity is that the Levi form have at least n − q positive eigenvalues; ...

### Several Complex Variables (1999)

by Michael Schneider, Yum-Tong Siu, Mathematical Sciences Research Institute (Berkeley, Calif.)

Pseudoconvexity is a geometric property of b0 that is necessary and sufficient for Q to be a domain of holomorphy; for domains with smooth boundaries ...

### Encyclopaedia of Mathematics (2013)

Monge — Ampère Equation — Rings and Algebras by M. Hazewinkel

Pseudoconvexity in the theory of complex spaces', ...

## Online dictionaries and encyclopedias with entries for Pseudoconvexity

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## Video about Pseudoconvexity

Pseudoconvexity Meaning

Video shows what pseudoconvexity means. The property of being pseudoconvex.. Pseudoconvexity Meaning. How to pronounce, definition audio dictionary.

## Scrabble value of P3S1E1U1D2O1C3O1N1V4E1X8I1T1Y4

The value of this 15-letter word is 33 points, but it's not an accepted word in the Official Scrabble Players Dictionary.