Dissipative Dirac operator with general boundary conditions on time scales

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.

Посилання

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Опубліковано
29.04.2020
Як цитувати
AllahverdievB. P., і TunaH. «Dissipative Dirac Operator With General Boundary Conditions on Time Scales». Український математичний журнал, вип. 72, вип. 5, Квітень 2020, с. 583–599, doi:10.37863/umzh.v72i5.546.
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