The c-Entropy optimality of Donoghue classes
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929649321246720 |
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| author | Belyi, Sergey Makarov, Konstantin Tsekanovskii, Eduard |
| author_facet | Belyi, Sergey Makarov, Konstantin Tsekanovskii, Eduard |
| contents | In this note we evaluate c-Entropy of perturbed L-systems introduced in [5]. 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_19895 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The c-Entropy optimality of Donoghue classes Belyi, Sergey Makarov, Konstantin Tsekanovskii, Eduard Spectral Theory Mathematical Physics 47A10 (Primary) 47N50, 81Q10 (Secondary) In this note we evaluate c-Entropy of perturbed L-systems introduced in [5]. 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. |
| title | The c-Entropy optimality of Donoghue classes |
| topic | Spectral Theory Mathematical Physics 47A10 (Primary) 47N50, 81Q10 (Secondary) |
| url | https://arxiv.org/abs/2412.19895 |