Characterizations of function spaces by the discrete Radon transform

DOI10.1080/10652469.2011.618928zbMath1270.44001OpenAlexW1999272360MaRDI QIDQ3166784

Takeshi Kawazoe, Ahmed Abouelaz

Publication date: 15 October 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.618928

zbMATH Keywords

discrete Fourier transformdiscrete Hardy spaceslinear Diophantine equationsSchwartz spacesdiscrete Radon transformHelgason support theoremStrichartz-type inversion formula

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Radon transform (44A12)

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

Cites Work

• On the range of the Radon transform and its dual
• Diophantine integral geometry
• The Radon transform
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• The paley‐wiener theorem for the radon transform