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A Comparison of the Carathéodory and Filippov Solution Sets

✍ Scribed by John S. Spraker


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
139 KB
Volume
198
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES


Solution of a multiple Nevanlinna–Pick p
✍ Andreas Lasarow 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 450 KB

## Abstract We consider an interpolation problem of Nevanlinna–Pick type for matrix‐valued Carathéodory functions, where the values of the functions and its derivatives up to certain orders are given at finitely many points of the open unit disk. For the non‐degenerate case, i.e., in the particular

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