Rigidity of Analytic Functions at the Boundary

2006/04/30 by Mustafa Arslan, Arslan, Mustafa
Mathematics · #30C80 #32A40 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30C80 #msc:32A40

paper · pdf · doi:10.48550/arxiv.math/0605026

elsart, 6 pages, minor errors corrected

arxiv created 2006/05/26 · arxiv updated 2009/12/01

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 \mathbb Cⁿ.

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