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Riesz bases of normalized reproducing kernels in Fock type spaces - MaRDI portal

Riesz bases of normalized reproducing kernels in Fock type spaces (Q2054427)

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scientific article; zbMATH DE number 7438138
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Riesz bases of normalized reproducing kernels in Fock type spaces
scientific article; zbMATH DE number 7438138

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    Riesz bases of normalized reproducing kernels in Fock type spaces (English)
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    2 December 2021
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    The article is devoted to Riesz bases of normalized reproducing kernels in Fock type spaces. The authors study a specific type of Fock space of entire functions \(f\) such that \(fe^{\varphi}\) be square integrable on the complex plane where the function \(\varphi\) is a radial subharmonic function. They prove that such spaces have a Riesz basis and investigate the conditions and properties of the basis.
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    Hilbert spaces
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    entire functions
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    reproducing kernels
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    unconditional bases
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    Riesz bases
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