Discrete Spectrum of the Jacobi Matrix Related to Recurrence Relations with Periodic Coefficients
- Авторы: Borzov V.1, Damaskinsky E.2
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Учреждения:
- St.Petersburg University of Telecommunications
- St.Petersburg Military Engineering-Technical University
- Выпуск: Том 213, № 5 (2016)
- Страницы: 694-705
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237230
- DOI: https://doi.org/10.1007/s10958-016-2732-2
- ID: 237230
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Аннотация
In this note, we study the discrete spectrum of the Jacobi matrix corresponding to polynomials defined by recurrence relations with periodic coefficients. As examples, we consider
(a) the case where the period N of coefficients of recurrence relations equals 3 (as a particular case, we consider “parametric” Chebyshev polynomials introduced by the authors earlier);
(b) elementary N-symmetric Chebyshev polynomials (N = 3, 4, 5), which were introduced by the authors in the study of the “composite model of a generalized oscillator.”
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Об авторах
V. Borzov
St.Petersburg University of Telecommunications
Автор, ответственный за переписку.
Email: borzov.vadim@yandex.ru
Россия, St.Petersburg
E. Damaskinsky
St.Petersburg Military Engineering-Technical University
Email: borzov.vadim@yandex.ru
Россия, St.Petersburg