English

Rigidity of Analytic Functions at the Boundary

Complex Variables 2007-05-23 v2

Abstract

A new elementary proof for a theorem of D. Burns and S. Krantz on the rigidity of the analytic self maps of the unit disc was recently discovered by L. Baracco, D. Zaitsev, and G. Zampieri. We use their argument to generalize Burns-Krantz theorems on the unit disc and on the unit ball of Cn{\mathbb C}^n.

Cite

@article{arxiv.math/0605026,
  title  = {Rigidity of Analytic Functions at the Boundary},
  author = {Mustafa Arslan},
  journal= {arXiv preprint arXiv:math/0605026},
  year   = {2007}
}

Comments

elsart, 6 pages, minor errors corrected

R2 v1 2026-07-22T17:35:10.511Z