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research
Riesz bases of reproducing kernels in Fock type spaces
Authors
A. Borichev
Yu. Lyubarskii
Publication date
25 June 2009
Publisher
Doi
Cite
View
on
arXiv
Abstract
In a scale of Fock spaces
F
φ
\mathcal F_\varphi
F
φ
with radial weights
φ
\varphi
φ
we study the existence of Riesz bases of (normalized) reproducing kernels. We prove that these spaces possess such bases if and only if
φ
(
x
)
\varphi(x)
φ
(
x
)
grows at most like
(
log
x
)
2
(\log x)^2
(
lo
g
x
)
2
.Comment: 14 page
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Last time updated on 11/11/2016