Riesz bases of reproducing kernels in Fock type spaces

Abstract

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

arXiv comment14 pages