Oscillation of functions with a spectral gap

DOI10.1073/pnas.0302874101zbMath1064.46026OpenAlexW2033718201WikidataQ37645393 ScholiaQ37645393MaRDI QIDQ5460839

Alexandre Eremenko, Dmitri Novikov

Publication date: 19 July 2005

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.0302874101

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Distributions, generalized functions, distribution spaces (46F99) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (7)

Gap and Type problems in Fourier analysis ⋮ On the determinacy problem for measures ⋮ Topological bounds for Fourier coefficients and applications to torsion ⋮ Quantitative projections in the Sturm oscillation theorem ⋮ Paley-Wiener functions with a generalized spectral gap ⋮ Density of zero sets for sums of eigenfunctions ⋮ A metric Sturm-Liouville theory in two dimensions

Cites Work

• On sign changes of tempered distributions having a spectral gap at the origin
• Qualitatives über Wärmeausgleich
• On Variation-Diminishing Integral Operators of the Convolution Type

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