On unconditional exponential bases in weighted spaces on interval of real axis
- 作者: Isaev K.1,2
-
隶属关系:
- Institute of Mathematics with Computer Center
- Bashkir State University
- 期: 卷 38, 编号 1 (2017)
- 页面: 48-61
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198630
- DOI: https://doi.org/10.1134/S1995080217010097
- ID: 198630
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详细
In the classical space L2(−π, π) there exists the unconditional basis {ekit} (k is integer). In the work we study the existence of unconditional bases in weighted Hilbert spaces L2(h) of the functions square integrable on an interval (−1, 1) with the weight exp(−h), where h is a convex function. We prove that there exist no unconditional exponential bases in space L2(h) if for some α < 0 (1 − |t|)α = O(eh(t)), t→±1.
作者简介
K. Isaev
Institute of Mathematics with Computer Center; Bashkir State University
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