Zero sets of entire functions of exponential type with additional conditions on the real axis

DOI10.1090/S1061-0022-08-01039-XzbMath1206.30041MaRDI QIDQ3079241

Sergeij Yu. Favorov

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

entire function of exponential typezero setCartwright's function

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (8)

Preservation of classes of entire functions defined in terms of growth restrictions along the real axis under perturbations of their zero sets ⋮ On properties of zero sets of divisors in weighted spaces of entire functions ⋮ Perturbations of an integer sequence as zero sets of divisors in some spaces of entire functions ⋮ Functions in the Schwartz algebra that are invertible in the sense of Ehrenpreis ⋮ Subsequences of zeros for classes of entire functions of exponential type distinguished by growth restrictions ⋮ On shifts of the sequence of integers generating functions that are invertible in the sense of Ehrenpreis ⋮ On conditions of invertibility in the sense of Ehrenpreis in the Schwartz algebra ⋮ Boundedness properties of fermionic operators

Cites Work

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