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math.FA2026
Dissipation and c-Entropy in Nevanlinna-Pick Interpolation
Sergey Belyi, Konstantin A. Makarov, Eduard Tsekanovskii
We study interpolation L-systems realizing finite Nevanlinna-Pick data sets and analyze their structural and quantitative characteristics. Explicit formulas are derived for the c-e…
math.FA2015
A system coupling and Donoghue classes of Herglotz-Nevanlinna functions
Sergey Belyi, Konstantin Makarov, Eduard Tsekanovskii
We study the impedance functions of conservative L-systems with the unbounded main operators. In addition to the generalized Donoghue class $\sM_κ$ of Herglotz-Nevanlinna functions…