English

Laurent series of holomorphic functions smooth up to the boundary

Complex Variables 2020-12-07 v3

Abstract

It is shown that the Laurent series of a holomorphic function smooth up to the boundary on a Reinhardt domain in Cn\mathbb{C}^n converges unconditionally to the function in the Fr\'{e}chet topology of the space of functions smooth up to the boundary.

Keywords

Cite

@article{arxiv.2002.00829,
  title  = {Laurent series of holomorphic functions smooth up to the boundary},
  author = {Anirban Dawn},
  journal= {arXiv preprint arXiv:2002.00829},
  year   = {2020}
}