Estimates of one-dimensional oscillatory integrals

DOI10.5802/AIF.945zbMath0511.42013OpenAlexW2325259917MaRDI QIDQ1838667

Detlef Müller

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_4_189_0

zbMATH Keywords

smooth curvesdecay at infinityone-dimensional oscillatory integralssmooth, compactly supported measures

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• Lower bounds at infinity for solutions of differential equations with constant coefficients
• Fourier transforms related to convex sets
• On the Banach algebra \(A(\Gamma)\) for smooth sets \(\Gamma\subset R^n\)
• On the spectral synthesis problem for hypersurfaces of \(R^n\)
• Singular fourier integral operators and representations of nilpotent lie groups
• Fourier transforms of surface-carried measures and differentiability of surface averages

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