Wronskians of Fourier and Laplace transforms

DOI10.1090/tran/7809zbMath1476.11117arXiv1606.05011OpenAlexW2964118002MaRDI QIDQ5234483

Dimitar K. Dimitrov, Yuan Xu

Publication date: 26 September 2019

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

Full work available at URL: https://arxiv.org/abs/1606.05011

zbMATH Keywords

Fourier transformLaplace transformentire functionWronskianRiemann hypothesisLaguerre-Pólya class

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Positive definite functions in one variable harmonic analysis (42A82) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Representations of entire functions of one complex variable by series and integrals (30D10) Tauberian theorems (40E05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

Fourier transforms related to ζ(s)

Cites Work

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• The generalized Laguerre inequalities and functions in the Laguerre-Pólya class
• Fourier transforms of positive definite kernels and the Riemann \(\xi\)-function
• Slater determinants of orthogonal polynomials
• Laguerre polynomials as Jensen polynomials of Laguerre-Pólya entire functions
• On certain formulas of Karlin and Szegö
• Note on the Riemann \(\zeta\)-function. III
• A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis
• On certain determinants whose elements are orthogonal polynomials
• Fourier Transforms and the Hermite-Biehler Theorem
• Tauberian Theory
• A CLOSURE PROBLEM RELATED TO THE RIEMANN ZETA-FUNCTION

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