Best multiband filter problem
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A. B. Bogatyrev;
Translated by: Christopher Hollings - Trans. Moscow Math. Soc. 2022, 217-225
- DOI: https://doi.org/10.1090/mosc/343
- Published electronically: September 23, 2024
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Abstract:
This mini-review examines the problems of geometric function theory that arise in the synthesis of electric filters, and in particular the work of A. A. Gonchar on the generalisation of Zolotarev’s third problem. The modern development of this topic is described, in particular the method of algebro-geometric Ansatz.References
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Bibliographic Information
- A. B. Bogatyrev
- Affiliation: Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow
- MR Author ID: 337598
- ORCID: 0000-0002-9581-4554
- Email: ab.bogatyrev@gmail.com
- Published electronically: September 23, 2024
- Additional Notes: The theoretical part of the work was supported by Russian Science Foundation grant 21-11-00325, and the numerical experiments were carried out with the support of the Departments of the Marchuk Institute, Moscow Centre for Fundamental and Applied Mathematics (Agreement 075-15-2022-286)
- © Copyright 2024 American Mathematical Society
- Journal: Trans. Moscow Math. Soc. 2022, 217-225
- MSC (2020): Primary 30E10, 30F30, 30C10
- DOI: https://doi.org/10.1090/mosc/343
Dedicated: Dedicated to the 90th birthday of Andrey Alexandrovich Gonchar