# Pseudoconvexity

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- Definition of the noun Pseudoconvexity
- Explanation
- Printed encyclopedias and other books with definitions for Pseudoconvexity
- Online dictionaries and encyclopedias with entries for Pseudoconvexity
- Video about Pseudoconvexity
- Scrabble value of P
_{3}S_{1}E_{1}U_{1}D_{2}O_{1}C_{3}O_{1}N_{1}V_{4}E_{1}X_{8}I_{1}T_{1}Y_{4} - Share this page

## Definition of the noun Pseudoconvexity

What does Pseudoconvexity mean as a name of something?

**noun**

- 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 P_{3}S_{1}E_{1}U_{1}D_{2}O_{1}C_{3}O_{1}N_{1}V_{4}E_{1}X_{8}I_{1}T_{1}Y_{4}

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

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