Rigidity of Analytic Functions at the Boundary

Details Rigidity of Analytic Functions at the Boundary Rigidity of Analytic Functions at the Boundary

2006-04-30

arxiv.org/abs/math/0605026v2

Mathematics

Complex Variables

elsart, 6 pages, minor errors corrected

Scientific paper

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 ${\mathbb C}^n$.

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