Estimates for the Fourier transform of the indicator function for nonconvex domains
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Publication:1916667
DOI10.1007/BF01077049zbMath1056.42503MaRDI QIDQ1916667
Publication date: 1995
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Differentiable maps on manifolds (58C25)
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Cites Work
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- Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
- Complete biorthogonal systems in Banach spaces
- Fourier transforms related to convex sets
- Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability
- Estimates for the Fourier transform of the characteristic function of a convex set
- Nombre de points entiers dans une famille homothétique de domaines de ${R}$
- Oscillatory integrals, lagrange immersions and unfolding of singularities
- On the Fourier Transform of the Indicator Function of a Planar Set