Riesz bases of reproducing kernels in Fock type spaces

2009/06/25 by Borichev, A., Lyubarskii, Yu. · 2 citations
#30H05 #41A99 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.0906.4815

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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• Shift-invariant sampling in two-sided small Fock spaces
• A uniform approach to complete interpolating sequences for small Fock spaces with p > 0

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