|
On some representing systems in spaces of analytic functions
Yu. F. Korobeinik
Abstract:
Let Eρ(z) be the Mittag-Leffler function. This article investigates the connection between “representing” properties for systems Eρ,Λ={Eρ(λkz)}∞k=1 and E(n)ρ,Λ={Eρ(λkz),zEρ(λkz),…,znEρ(λkz)}∞k=1, n⩾1, as well as for systems E1ρ,Λ={Eρ(λk,1z)}∞k=1, E2ρ,Λ={Eρ(λk,2z)}∞k=1, and E3ρ,Λ=E1ρ,Λ∪E2ρ,Λ in spaces of analytic functions.
Bibliography: 18 titles.
Received: 25.06.1982
Citation:
Yu. F. Korobeinik, “On some representing systems in spaces of analytic functions”, Math. USSR-Izv., 23:3 (1984), 487–509
Linking options:
https://www.mathnet.ru/eng/im1461https://doi.org/10.1070/IM1984v023n03ABEH001782 https://www.mathnet.ru/eng/im/v47/i6/p1224
|
Statistics & downloads: |
Abstract page: | 406 | Russian version PDF: | 114 | English version PDF: | 31 | References: | 91 | First page: | 1 |
|