English

Majorant Series

Complex Variables 2007-05-23 v1

Abstract

This article discusses questions in one and several complex variables about the size of the sum of the moduli of the terms of the series expansion of a bounded holomorphic function. Although the article is partly expository, it also includes some previously unpublished results with complete proofs. The article is based on a lecture at the third Korean several complex variables symposium held at the Global Analysis Research Center at Seoul National University in December 1998.

Keywords

Cite

@article{arxiv.math/0001037,
  title  = {Majorant Series},
  author = {Harold P. Boas},
  journal= {arXiv preprint arXiv:math/0001037},
  year   = {2007}
}

Comments

16 pages; to appear in the Journal of the Korean Mathematical Society