English

A note on a theorem of H. Cartan

Complex Variables 2007-05-23 v1 Differential Geometry

Abstract

We prove that if DCnD\subset C^n is a bounded domain with real analytic boundary and D is pseudoconvex then the compact open topology in the group of holomorphic automorphisms of D is the topology of uniform convergence on D.

Keywords

Cite

@article{arxiv.math/9911060,
  title  = {A note on a theorem of H. Cartan},
  author = {J. M. Isidro},
  journal= {arXiv preprint arXiv:math/9911060},
  year   = {2007}
}

Comments

3 pages, AMS-TEX, to be published in Acta Math. Hungar

R2 v1 2026-07-22T18:05:07.937Z