Dissipative Dirac operator with general boundary conditions on time scales

B. P. Allahverdiev; H.  Tuna

doi:10.37863/umzh.v72i5.546

B. P. Allahverdiev Department of Mathematics, Süleyman Demirel University, Isparta, Turkey
H. Tuna Mehmet Akif Ersoy Univ., Burdur, Turkey https://orcid.org/0000-0001-7240-8687

DOI: https://doi.org/10.37863/umzh.v72i5.546

Анотація

Розглядається симетричний оператор Дірака на обмежених часових шкалах. При загальних граничних умовах описано розширення (дисипативні, акумулятивні, самоспряжені та інші) таких симетричних операторів. Побудовано самоспряжене розширення дисипативного оператора та визначено матрицю розсіювання дилатації. Також побудовано функціональну модель цього оператора та визначено його характеристичну функцію. Насамкінець доведено, що всі кореневі вектори цього оператора є повними.

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