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The c‐Entropy optimality of Donoghue classes

Author

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  • S. Belyi
  • K. A. Makarov
  • E. Tsekanovskii

Abstract

In this paper, we evaluate c‐Entropy of perturbed L‐systems introduced in Belyi and Tsekanovskii [Complex Anal. Oper. Theory 13 (2019), no. 3, 1227–1311]. Explicit formulas relating the c‐Entropy of the L‐systems and the perturbation parameter are established. We also show that c‐Entropy attains its maximum value (finite or infinite) whenever the perturbation parameter vanishes so that the impedance function of such a L‐system belongs to one of the generalized (or regular) Donoghue classes.

Suggested Citation

  • S. Belyi & K. A. Makarov & E. Tsekanovskii, 2026. "The c‐Entropy optimality of Donoghue classes," Mathematische Nachrichten, Wiley Blackwell, vol. 299(2), pages 433-455, February.
    • Handle: RePEc:bla:mathna:v:299:y:2026:i:2:p:433-455
    DOI: 10.1002/mana.70096
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