Uniform estimates of oscillatory integrals with parabolic or hyperbolic phase

DOI10.1007/BF01086538zbMath0585.42014MaRDI QIDQ1071205

Vladimir N. Karpushkin

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

several variablestransforms of Fourier type

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (11)

On the volume and the number of lattice points of some semialgebraic sets ⋮ Resolution of singularities in two dimensions and the stability of integrals ⋮ \(L^{p}\) Sobolev regularity of averaging operators over hypersurfaces and the Newton polyhedron ⋮ Stability of oscillatory integral asymptotics in two dimensions ⋮ Smoothing theorems for Radon transforms over hypersurfaces and related operators ⋮ \(L^p\) Sobolev regularity for a class of Radon and Radon-like transforms of various codimension ⋮ Hyperplane integrability conditions and smoothing for Radon transforms ⋮ Uniform bounds for Fourier transforms of surface measures in R$^3$ with nonsmooth density ⋮ Estimates for Fourier transforms of surface measures in \(\mathbb{R}^3\) and PDE applications ⋮ Fourier transforms of indicator functions, lattice point discrepancy, and the stability of integrals ⋮ Weighted inequalities for real-analytic functions in \(\mathbb R^ 2\).

Cites Work

• Holomorphic universal covering spaces of polynomials without multiple roots
• Oscillatory integrals, lagrange immersions and unfolding of singularities

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