Oscillatory integrals with polynomial phase.

DOI10.7146/math.scand.a-12368zbMath0761.42007OpenAlexW196772129MaRDI QIDQ3990629

Daniel M. Oberlin

Publication date: 28 June 1992

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167169

zbMATH Keywords

oscillatory integralspolynomial phase

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Inequalities for sums, series and integrals (26D15)

Related Items (8)

Decay estimates for oscillatory integrals with polynomial phase in terms of \(p^{(n-3)}\) and \(p^{(n-2)}\) or in terms of \(p^{(n-2)}\) and \(p^{(n-1)}\) ⋮ Universal \(L^p\) improving for averages along polynomial curves in low dimensions ⋮ On the Fourier transform of measures carried by submanifolds of finite type ⋮ Average decay estimates for Fourier transforms of measures supported on curves ⋮ A convolution estimate for a measure on a curve in $\mathbb {R}^4$ ⋮ On estimates for oscillatory integrals with phase depending on parameters ⋮ Estimates of oscillatory integrals with a damping factor ⋮ Two endpoint bounds for generalized Radon transforms in the plane

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