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Expanding the reciprocal of an entire function with zeros in a strip in a Kreǐn series

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Publication:2880055
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DOI10.1070/SM2011V202N12ABEH004210zbMath1253.30010MaRDI QIDQ2880055

V. B. Sherstyukov

Publication date: 12 April 2012

Published in: Sbornik: Mathematics (Search for Journal in Brave)


zbMATH Keywords

entire functionpartial fraction series


Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50) Representations of entire functions of one complex variable by series and integrals (30D10)


Related Items (5)

Krein-type theorems and ordered structure for Cauchy-de Branges spaces ⋮ On the expansion of a meromorphic function in partial fractions ⋮ Asymptotic properties of entire functions with given laws of distribution of zeros ⋮ Spectral theory of rank one perturbations of normal compact operators ⋮ Application of Krein's series to calculation of sums containing zeros of the Bessel functions







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