On the range of the Radon transform on \(\mathbb Z^n\) and the related Volberg's uncertainty principle

DOI10.1155/2015/375017zbMath1486.44002OpenAlexW2058538286WikidataQ59113009 ScholiaQ59113009MaRDI QIDQ1728856

Abdallah Ihsane, Ahmed Abouelaz, Takeshi Kawazoe

Publication date: 26 February 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/375017

Mathematics Subject Classification ID

Radon transform (44A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Cites Work

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• Diophantine integral geometry
• Uncertainty principles in harmonic analysis
• Characterizations of function spaces by the discrete Radon transform
• An uncertainty principle on homogeneous trees

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