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Ufa Mathematical Journal, 2015, Volume 7, Issue 3, Pages 108–118
DOI: https://doi.org/10.13108/2015-7-3-108 (Mi ufa296) 		 
On unconditional exponential bases in weighted spaces on real axis

A. A. Yunusov

Bashkir State University, Ufa, Russia
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DOI: https://doi.org/10.13108/2015-7-3-108
Abstract: We prove that if there exists an unconditional exponential basis in integral weighted functional space on interval $(-1,1)$ and the entire generating function satisfies some condition, then space $L_2(h)$ as a normed space is isomorphic to classical space $L_2$.
Keywords: Hilbert spaces, entire functions, unconditional exponential bases, Riesz bases.
Received: 02.08.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2015, Volume 7, Issue 3, Pages 114–124
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 30D20
Language: English
Original paper language: Russian
Citation: A. A. Yunusov, “On unconditional exponential bases in weighted spaces on real axis”, Ufimsk. Mat. Zh., 7:3 (2015), 114–124; Ufa Math. J., 7:3 (2015), 108–118
Citation in format AMSBIB
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    References:32
     
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