Oscillation of Fourier integrals with a spectral gap.

DOI10.1016/S0021-7824(03)00064-3zbMath1080.30025arXivmath/0301060MaRDI QIDQ1429961

Alexandre Eremenko, Dmitri Novikov

Publication date: 27 May 2004

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301060

zbMATH Keywords

heat equationspectral gapentire functionssign changes

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Entire functions of one complex variable (general theory) (30D20) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (13)

On the Lévy-Raikov-Marcinkiewicz theorem ⋮ On a problem of H. Shapiro ⋮ Isotropic kernels for two-dimensional image interpolation ⋮ 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 ⋮ An extremal problem for a class of entire functions ⋮ Signal analysis based on complex wavelet signs ⋮ Sturm's theorem on zeros of linear combinations of eigenfunctions ⋮ A metric Sturm-Liouville theory in two dimensions ⋮ Persistence of Gaussian stationary processes: a spectral perspective ⋮ Kernels of Toeplitz operators

Cites Work

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• Differentiation of integrals in \(\mathbb{R}^n\)
• On sign changes of tempered distributions having a spectral gap at the origin
• On the Lévy-Raikov-Marcinkiewicz theorem.
• On Fourier transforms of measures with compact support
• Linear partial differential operators and generalized distributions
• Analytic continuation across a linear boundary
• On Weierstrass products of zero type on the real axis
• Mean motions and zeros of almost periodic functions
• Sur quelques extensions de la notion de distribution
• Integrals of High-Pass Functions
• ON THE ASYMPTOTIC BEHAVIOR OF SUBHARMONIC FUNCTIONS OF FINITE ORDER
• Limit sets of plurisubharmonic functions.
• On Even Entire Functions With Zeros Having a Density

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