Nonpathological Lyapunov functions and discontinuous Carathéodory systems
✍ Scribed by Andrea Bacciotti; Francesca Ceragioli
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 193 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0005-1098
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let { n } ∞ n=1 be a sequence of points in the open unit disk in the complex plane and let . We put L = span{B n : n = 0, 1, 2, . . .} and we consider the following "moment" problem: Given a positive-definite Hermitian inner product •, • in L, find all positive Borel measures on [-, ) such that We
## 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