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On uniform approximation in real non-degenerate Weil polyhedron

Published/Copyright: November 28, 2007
Analysis
From the journal Analysis Volume 26 Issue 2

Summary

It is proved that any function holomorphic in a real, non-degenerate Weil polyhedron G and continuous in its closure ¯G can be uniformly approximated by functions holomorphic in a neighborhood of ¯G. Besides, it is proved that such functions can be approximated by polynomials if G is a polynomial polyhedron.

Published Online: 2007-11-28
Published in Print: 2006-1-1

© Oldenbourg Wissenschaftsverlag GmbH

Articles in the same Issue

  1. On uniform approximation in real non-degenerate Weil polyhedron
  2. Dual pairs of orthogonal systems of rational matrix-valued functions on the unit circle
  3. Density in cos πρ theorems for δ-subharmonic functions
  4. Maximum principles for energy stationary hypersurfaces
  5. Pointwise approximation by Bernstein–Kantorovich quasi-interpolants
  6. On a boundary value problem for an elliptic equation in the unit disk
https://doi.org/10.1524/anly.2006.26.2.199

Articles in the same Issue

  1. On uniform approximation in real non-degenerate Weil polyhedron
  2. Dual pairs of orthogonal systems of rational matrix-valued functions on the unit circle
  3. Density in cos πρ theorems for δ-subharmonic functions
  4. Maximum principles for energy stationary hypersurfaces
  5. Pointwise approximation by Bernstein–Kantorovich quasi-interpolants
  6. On a boundary value problem for an elliptic equation in the unit disk
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