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Incompleteness of exponential systems on curves

R. A. Gaisin



Abstract: The talk is devoted to the problem of completeness (incompleteness) of a system of exponentials with real exponents on arcs. As it is known this problem is closely related to the problem of quasi-analyticity (non-quasi-analyticity) of the corresponding Carleman class. The report will review the results of recent years on this topic, including the latest result of the author of 2021.


© Steklov Math. Inst. of RAS, 2024