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On 4-flattening theorems and the curves of Carathéodory, Barner and Segre

✍ Scribed by Ricardo Uribe-Vargas


Publisher
Springer
Year
2003
Tongue
English
Weight
121 KB
Volume
77
Category
Article
ISSN
0047-2468

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Carathéodory–Julia type conditions and s
✍ Vladimir Bolotnikov; Alexander Kheifets 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 248 KB

## Abstract It is shown that the following conditions are equivalent for the generalized Schur class functions at a boundary point __t__~0~ ∈ 𝕋: 1) Carathéodory–Julia type condition of order __n__; 2) agreeing of asymptotics of the original function from inside and of its continuation by reflection