The Basis Property of a Perturbed System of Exponentials in Morrey-Type Spaces
- 作者: Bilalov B.T.1
-
隶属关系:
- Institute of Mathematics and Mechanics
- 期: 卷 60, 编号 2 (2019)
- 页面: 249-271
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172309
- DOI: https://doi.org/10.1134/S003744661902006X
- ID: 172309
如何引用文章
详细
for the perturbed system of exponentials exp(i(n − β sign n)t), for n ∈ Z, where β is a complex parameter, we find a necessary and sufficient condition on β under which this system constitutes a basis for the Morrey space on (−π, π). The system is of particular interest in the theory of nonharmonic Fourier series; the study of its basis property in Lebesgue spaces stems from the works by Paley, Wiener, and Levinson. Sedletskii and Moiseev obtained a criterion for the basis property for this system with respect to β in Lebesgue spaces. The criterion for Morrey spaces is different from the above.
作者简介
B. Bilalov
Institute of Mathematics and Mechanics
编辑信件的主要联系方式.
Email: b_bilalov@mail.ru
阿塞拜疆, Baku
补充文件
