Uniform bounds for two variable real oscillatory integrals and singularities of mappings

DOI10.1515/CRELLE.2007.073zbMath1129.11052MaRDI QIDQ5424844

Ben Lichtin

Publication date: 6 November 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

oscillatory integralsforms of higher degreeuniformisable mappings

Mathematics Subject Classification ID

Other analytic theory (11R47)

Related Items (2)

Archimedean zeta functions and oscillatory integrals ⋮ Uniform bounds for Fourier transforms of surface measures in R$^3$ with nonsmooth density

Cites Work

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• Asymptotics of multivariate sequences. I: Smooth points of the singular variety
• Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces
• The asymptotics of a lattice point problem associated to a finite number of polynomials. I
• The asymptotics of a lattice point problem associated to a finite number of polynomials. II
• Oscillatory integrals and maximal averages over homogeneous surfaces
• On a question of Igusa, II: Uniform asymptotic bounds for Fourier transforms in several variables
• Uniformization of Analytic Spaces

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