Riesz bases of reproducing kernels in Fock type spaces

Details Riesz bases of reproducing kernels in Fock type spaces Riesz bases of reproducing kernels in Fock type spaces

2009-06-25

arxiv.org/abs/0906.4815v1

Mathematics

Complex Variables

14 pages

Scientific paper

In a scale of Fock spaces $\mathcal F_\varphi$ with radial weights $\varphi$
we study the existence of Riesz bases of (normalized) reproducing kernels. We
prove that these spaces possess such bases if and only if $\varphi(x)$ grows at
most like $(\log x)^2$.

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