Approximation

Part of the Progress in Mathematics book series (PM, volume 261)

Abstract

The present chapter is devoted in the main to some approximation theorems for continuous functions defined on totally real sets. The approximation results established here are of a global nature. Section 6.1 contains preparatory material on totally real sets and manifolds. Section 6.2 introduces holomorphically convex compacta and develops some of their main properties. Section 6.3 contains a result on uniform approximation on compacta in totally real sets. Section 6.4 presents some material on the algebras ℛ(X) for planar compacta X for use in the following section. Section 6.5 considers algebras on smooth manifolds and analytic varieties. Section 6.6 contains results on tangential approximation.

Keywords

Compact Subset Closed Subset Complex Manifold Plurisubharmonic Function Stein Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston 2007

Personalised recommendations