We consider an abstract radial Hilbert function spaces H stable under division and find a necessary condition for the existence of unconditional bases of reproducing kernels in terms of sequences.
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Translated from Problemy Matematicheskogo Analiza 111, 2021, pp. 99-107.
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Isaev, K.P., Lutsenko, A.V. & Yulmukhametov, R.S. Necessary Condition for the Existence of Unconditional Bases of Reproducing Kernels for Hilbert Spaces of Entire Functions. J Math Sci 257, 662–672 (2021). https://doi.org/10.1007/s10958-021-05508-x
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DOI: https://doi.org/10.1007/s10958-021-05508-x