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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.SP2026
Threshold Virtual States of a Jacobi operator
Saidakhmat N. Lakaev, Konstantin A. Makarov
We prove that the set of parameters for which a virtual level appears at the edge of the continuous spectrum of a Jacobi matrix with a finite-rank diagonal perturbation constitutes…