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Necessary condition for the existence of unconditional bases of reproducing kernels for Hilbert spaces of entire functions - MaRDI portal

Necessary condition for the existence of unconditional bases of reproducing kernels for Hilbert spaces of entire functions (Q1983996)

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scientific article; zbMATH DE number 7394450
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English
Necessary condition for the existence of unconditional bases of reproducing kernels for Hilbert spaces of entire functions
scientific article; zbMATH DE number 7394450

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    Necessary condition for the existence of unconditional bases of reproducing kernels for Hilbert spaces of entire functions (English)
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    13 September 2021
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    The paper examines necessary conditions for the existence of unconditional bases of reproducing kernels for Hilbert spaces of entire functions. As a special case of finding an unconditional basis, the authors select an abstract radial Hilbert function space, stable under division, and study finding a necessary condition for the existence of unconditional bases of reproducing kernels in terms of sequences.
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    reproducing kernels
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    Hilbert spaces
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    entire functions
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