Nontriviality of Siddiqi class and nonspanning systems of exponentials on curves

1 Jul 2023, 17:25
30m

Speaker

Rashit Gaisin (Institute of Mathematics with Computing Centre - Subdivision of the Ufa Federal Research Centre of Russian Academy of Science)

Description

We study problem of noncompleteness of the system of exponentials $\{e^{\pm \lambda_n z}\}$ $(\lambda_n>0)$ in the space of continuous functions on the arc of bounded slope. In the terms of minorant sequence we have obtained new equivalent condition, which is sufficient for noncompleteness of the given system of exponentials. We also have proved that Siddiqi class is nontrivial if sequence $\{M_n^c\}$ satisfyes the A-condition.

Primary author

Rashit Gaisin (Institute of Mathematics with Computing Centre - Subdivision of the Ufa Federal Research Centre of Russian Academy of Science)

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