On the Lévy-Raikov-Marcinkiewicz theorem

DOI10.1016/j.jmaa.2004.04.021zbMath1066.42006OpenAlexW2116569660MaRDI QIDQ1876750

Alexander Ulanovskii, Iossif V. Ostrovskii

Publication date: 20 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.021

zbMATH Keywords

Fourier transformBorel measureanalytic continuationtemperate distribution

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• On sign changes of tempered distributions having a spectral gap at the origin
• Oscillation of Fourier integrals with a spectral gap.
• On the Lévy-Raikov-Marcinkiewicz theorem.
• Global regularity of positive define continous functions
• Functions with a spectral gap