donstuAdvanced Engineering Research (Rostov-on-Don)Advanced Engineering Research (Rostov-on-Don)2687-1653Don State Technical Universitydonstu-793Research ArticlePHYSICAL AND MATHEMATICAL SCIENCESФИЗИКО-МАТЕМАТИЧЕСКИЕ НАУКИON DISTRIBUTION OF EIGEN VALUES OF TOEPLITZ MATRICES WITH HARTWIG-FISHER SYMBOLО распределении собственных чисел тёплицевых матриц с символом Хартвига – ФишераБатальщиковАлександр АлександровичBatalshchikovAleksander A.abatalshikov@gmail.comСтукопинВладимир АлексеевичStukopinVladimir A.stukopin@mail.ruДонской государственный технический университетРоссияDon State Technical UniversityRussian Federation201130122011116812820Copyright © Batalshchikov A.A., Stukopin V.A., 20112011Батальщиков А.А., Стукопин В.А.Batalshchikov A.A., Stukopin V.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.vestnik-donstu.ru/jour/article/view/793

Toeplitz matrices with Hartwig-Fisher symbol are investigated. The extension of Szego theorem for normal Toeplitz matrices with complex-valued symbol from L? space on the unit circle is formulated and proved.

Исследуются матрицы Тёплица с символом типа Хартвига – Фишера. Формулируется и доказывается обобщение теоремы Сегё для нормальных тёплицевых матриц с комплекснозначным символом из класса L? на единичной окружности.

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The authors declare that there are no conflicts of interest present.