De Bruijn's question on the zeros of Fourier transforms

DOI10.1007/BF02788795zbMath1072.30019OpenAlexW1982481511MaRDI QIDQ1880938

Haseo Ki, Young-One Kim

Publication date: 27 September 2004

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788795

zbMATH Keywords

differential operatorsLaguerre-Pólya classzeros of Fourier transformsuniversal factors

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) 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)

A generalization of Newman's result on the zeros of Fourier transforms ⋮ On the de Bruijn-Newman constant ⋮ Analytic Solutions of the Heat Equation ⋮ Classification theorems for operators preserving zeros in a strip ⋮ On the Pólya-Wiman properties of differential operators ⋮ Fourier transforms of positive definite kernels and the Riemann \(\xi\)-function ⋮ A note on differential operators of infinite order. ⋮ A note on the zeros of Jensen polynomials

Cites Work

• Differential operators of infinite order and the distribution of zeros of entire functions
• A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant \(\Lambda\)
• On the number of nonreal zeros of real entire functions and the Fourier-Pólya conjecture
• The roots of trigonometric integrals
• Fourier Transforms with Only Real Zeros
• Critical points of real entire functions and a conjecture of Pólya
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