Fourier Transforms and the Hermite-Biehler Theorem

DOI10.2307/2048160zbMath0683.30033OpenAlexW4234637496MaRDI QIDQ4732695

George Csordas, Richard S. Varga

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048160

zbMATH Keywords

Laguerre-Pólya classRiemann's hypothesisspecial entire functions

Mathematics Subject Classification ID

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) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items

\(L^ 2\)-formulas for entire functions of exponential type ⋮ Jensen polynomials with applications to the Riemann \(\xi\)-function ⋮ Convolution operators and zeros of entire functions ⋮ Wronskians of Fourier and Laplace transforms

Cites Work

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• Moment inequalities and the Riemann hypothesis
• Necessary and sufficient conditions and the Riemann hypothesis
• The roots of trigonometric integrals
• The Riemann Hypothesis and the Turan Inequalities
• Integral transforms and the laguerre—pólya class
• On inequalities of the Turán type