ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXVI, (2007)
p. 173 - 178

Uniform Approximation by Polynomials on Real Non-degenerate Weil Polyhedron
A. I. Petrosyan


Abstract.  It is proved, that on real non-degenerate polynomial Weil polyhedron G any function, holomorphic in G and continuous on its closure, can be uniformly approximated by polynomials.

Keywords:   holomorphic, polyhedron, approximation, $\overline\partial$-equation.

AMS Subject classification.  Primary: 30E05, 41A30, 41A10.

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