Riesz bases of reproducing kernels in Fock type spaces
classification
🧮 math.CV
keywords
basesspacesvarphifockkernelsreproducingrieszexistence
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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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