Convolution operators and zeros of entire functions

DOI10.1090/S0002-9939-01-06351-1zbMath0991.44002OpenAlexW1591383933MaRDI QIDQ2781343

David A. Cardon

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06351-1

zbMATH Keywords

Fourier transformRiemann zeta functionzeros of entire functionsRiemann hypothesisLaguerre-Pólya classconvolution operatorsreal zeros

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) (zeta (s)) and (L(s, chi)) (11M06) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (3)

Fourier transforms having only real zeros ⋮ Sums of entire functions having only real zeros ⋮ Complex zero strip decreasing operators

Cites Work

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• LEVEL SETS OF REAL ENTIRE FUNCTIONS AND THE LAGUERRE INEQUALITIES
• Fourier Transforms and the Hermite-Biehler Theorem

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