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Header of Pseudoconvexity


Definition of the noun Pseudoconvexity

What does Pseudoconvexity mean as a name of something?


  1. The property of being pseudoconvex.


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

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Google previewGlobal 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 ...

Google previewLectures 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 ...

Google previewGROUP 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 ...

Google previewDifferential 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 ...

Google previewThe 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 ...

Google previewTheory of Functions on Complex Manifolds (2013)


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.

Google previewComplex 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 ...

Google previewAnalytic 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; ...

Google previewSeveral 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 ...

Google previewEncyclopaedia of Mathematics (2013)

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

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

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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.

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