Completeness of exponential systems in spaces of functions on a compact or domain and their area

Autor:	Khabibullin, B. N., Kudasheva, E. G.
Jazyk:	ruština
Rok vydání:	2023
Předmět:	Mathematics - Complex Variables 30B60 (Primary) 52A38 30D15 31A05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We present new completeness conditions for exponential systems on the complex plane in Banach algebras of continuous functions on a compact with a connected complement that are simultaneously holomorphic in the interior of this compact if it is nonempty, as well as in spaces of holomorphic functions on a simply connected bounded domain with a topology of uniform convergence on compact subsets. These conditions are formulated in terms of the Euclidean area of the convex hull of a compact or a region on the one hand, and new characteristics of the distribution of exponential system indicators on the other. Comment: 10 pages, in Russian
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.15899 Zobrazit plný text záznamu View this record from Arxiv