ON UNCONDITIONAL BASES OF EXPONENTIALS IN WEIGHTED SPACES ON AN INTERVAL OF THE REAL AXIS

被引：0
|
作者：
Isaev, K. P. [1 ,2 ]
Yulmukhametov, R. S. [1 ,2 ]
Yunusov, A. A. [2 ]
机构：
[1] Ufa Sci Ctr RAS, Inst Math, Comp Ctr, 112 Chernyshevskii Str, Ufa 450008, Russia
[2] Bashkir State Univ, 32 Zaki Validi Str, Ufa 450076, Russia
来源：
ST PETERSBURG MATHEMATICAL JOURNAL | 2017年 / 28卷 / 05期
关键词：
Series of exponentials; unconditional basis; Hilbert space; entire functions; BARGMANN-FOCK SPACE; DENSITY THEOREMS; INTERPOLATION;
D O I：
10.1090/spmj/1467
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that if a weighted space L-2(h) on the interval (-1; 1) admits an unconditional basis of exponentials, and the entire function that generates this basis satisfies a certain condition, then the space L-2(h) is isomorphic (as a normed space) to the usual space L-2.
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页码：689 / 706
页数：18
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