Необходимое условие полноты системы экспонент в прострaнстве квaдрaтично интегрируемых функций со степенным весом |
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Authors: | И О Крaснобaев |
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Institution: | 1. ?????u????u?? ?????, ?????? u????u ??. ??. ???????????a, ??????u??, 119991, ???????a, ?. 1, ????a??u???-??am???amu?????u? ??a?????m??m
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Abstract: | A necessary condition is obtained for the completeness of the system of exponents $$e(\Lambda ) = \left\{ {e^{ - \lambda _n t} :\lambda _n \in \left\{ {z:0 < \operatorname{Re} z < A \in \mathbb{R}^ + ,0 < \operatorname{Im} z < 2\pi } \right\}} \right\}$$ in the space of square integrable functions with the power weight t ?? , where ?1 < ?? < 0. |
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