where is a bounded connected open subset of and are holomorphic on D. If above are polynomials, then the set is called a polynomial polyhedron. Every analytic polyhedron is a domain of holomorphy (thus, pseudo-convex.)
The boundary of an analytic polyhedron is the union of the set of hypersurfaces
See also: the Behnke–Stein theorem.
- E. M. Chirka, A. G. Vitushkin (1997). Introduction to Complex Analysis. Springer. pp. 35–36. ISBN 9783540630050.
- Lars Hörmander. An Introduction to Complex Analysis in Several Variables, North-Holland Publishing Company, New York, New York, 1973.
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