Discrete fractional Radon transforms and quadratic forms

DOI10.1215/00127094-1507288zbMath1246.44002arXiv1005.4049OpenAlexW2964128018MaRDI QIDQ662418

Lillian Beatrix Pierce

Publication date: 22 February 2012

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4049

zbMATH Keywords

quadratic formcircle methodtheta functionsexponential sumFourier transform methodsoscillatory integralfractional Radon transformsdiscrete fractional transformintricate spectral decomposition

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Applications of the Hardy-Littlewood method (11P55) Radon transform (44A12) Trigonometric and exponential sums (general theory) (11L03)

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Cites Work

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• Discrete analogues in harmonic analysis. II: Fractional integration
• Two discrete fractional integral operators revisited
• On discrete fractional integral operators and mean values of Weyl sums
• $L^p$ boundedness of discrete singular Radon transforms
• Two discrete fractional integrals

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