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This article is cited in 15 scientific papers (total in 15 papers)
Unconditional bases of reproducing kernels in Hilbert spaces of entire functions
K. P. Isaev, R. S. Yulmukhametov Institute of Mathematics USC RAS, Chernyshevsky str., 112,
450008, Ufa, Russia
Abstract:
We consider the existence of unconditional bases of reproducing kernels in a functional Hilbert space of entire functions. It is proved that under certain conditions, unconditional bases of reproducing kernels do not exist. It is shown that in particular spaces some known theorems on the absence of unconditional bases are the consequences of these results.
Keywords:
Hilbert spaces, entire functions, reproducing kernels, unconditional bases.
Received: 12.12.2012
Citation:
K. P. Isaev, R. S. Yulmukhametov, “Unconditional bases of reproducing kernels in Hilbert spaces of entire functions”, Ufa Math. J., 5:3 (2013), 67–76
Linking options:
https://www.mathnet.ru/eng/ufa210https://doi.org/10.13108/2013-5-3-67 https://www.mathnet.ru/eng/ufa/v5/i3/p67
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Abstract page: | 557 | Russian version PDF: | 255 | English version PDF: | 45 | References: | 99 | First page: | 2 |
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