On the restriction of the Fourier transform and Fourier series to circles of lacunary radii

DOI10.1007/BF02843902zbMath0641.42008OpenAlexW2041976024MaRDI QIDQ1100671

Bartolomé Barceló

Publication date: 1986

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02843902

zbMATH Keywords

Fourier transformdouble Fourier serieslacunary radiirestriction Theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Harmonic analysis in several variables (42B99) Fourier series and coefficients in several variables (42B05)

Cites Work

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• Euclidean harmonic analysis. Proceedings of seminars held at the University of Maryland, 1979
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Inequalities for strongly singular convolution operators
• Fourier restriction theorems for curves with affine and Euclidean arclengths
• On the Restriction of the Fourier Transform to a Conical Surface
• The restriction of the Fourier transform to some curves and surfaces
• Fourier multipliers and estimates of the Fourier transform of measures carried by smooth curves in R²
• A restriction theorem for space curves
• On Fourier coefficients and transforms of functions of two variables
• A Cantor-Lebesgue theorem for double trigonometric series
• Summation of Multiple Fourier Series by Spherical Means

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