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math.CV2012★ 3 cited
Blaschke-type conditions in unbounded domains, generalized convexity and applications in perturbation theory
S. Favorov, L. Golinskii
We introduce a new geometric characteristic of compact sets on the plane called -convexity, which fits nicely into the concept of generalized convexity and extends essentially t…
math.CV2010★ 2 cited
Blaschke-type conditions for analytic functions in the unit disk: inverse problems and local analogs
S. Favorov, L. Golinskii
We continue the study of analytic functions in the unit disk of finite order with arbitrary set of singular points on the unit circle, introduced in \cite{FG}. The main focus here…
math.CV2010
The scattering problem in Ryckman's class of Jacobi matrices
L. Golinskii, A. Kheifets, P. Yuditskii
We give a complete solution of the scattering problem for Jacobi matrices from a class which was recently introduced by E. Ryckman. We characterize the scattering data for this cla…