Uniform estimates for the local restriction of the Fourier transform to curves
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Publication:2846972
DOI10.1090/S0002-9947-2012-05769-2zbMath1277.42009OpenAlexW1984250151WikidataQ110214620 ScholiaQ110214620MaRDI QIDQ2846972
Spyridon Dendrinos, Detlef Müller
Publication date: 4 September 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05769-2
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)
Related Items (7)
Convolution estimates for measures on some complex curves ⋮ Restriction estimates for space curves with respect to general measures ⋮ Restriction of the Fourier transform to some oscillating curves ⋮ Averaged decay estimates for Fourier transforms of measures over curves with nonvanishing torsion ⋮ Restriction of the Fourier transform to some complex curves ⋮ Uniform bounds for convolution and restricted X-ray transforms along degenerate curves ⋮ Remarks on estimates for the adjoint restriction operator to curves over the sphere
Cites Work
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- The spaces \(L^ p\), with mixed norm
- Restrictions of Fourier transforms to curves
- Fourier restriction of \(H^{1}\) functions on polynomial surfaces
- An affine restriction estimate in $\mathbb{R}^3$
- Degenerate curves and harmonic analysis
- Fourier restriction to polynomial curves I: a geometric inequality
- Restriction of Fourier transforms to curves and related oscillatory integrals
- Fourier restriction theorems for curves with affine and Euclidean arclengths
- Fourier restriction theorems for degenerate curves
- Fourier multipliers and estimates of the Fourier transform of measures carried by smooth curves in R²
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