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arXiv · 0906.4815

Riesz bases of reproducing kernels in Fock type spaces

A. Borichev·Yu. Lyubarskii
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Abstract

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

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A. Borichev, Yu. Lyubarskii. 2009-06-25. Riesz bases of reproducing kernels in Fock type spaces. https://arxiv.org/abs/0906.4815

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