On the Asymptotic Behavior of the Fourier Transform of the Indicator Function of a Convex Set
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Publication:5574643
DOI10.2307/1995320zbMath0183.26905OpenAlexW4236096884MaRDI QIDQ5574643
Publication date: 1969
Full work available at URL: https://doi.org/10.2307/1995320
Related Items (30)
On the Fourier transform of measures carried by submanifolds of finite type ⋮ Oscillatory integrals and atoms on the unit sphere ⋮ Summability of oscillatory integrals over parameters and the boundedness problem for Fourier transforms on curves ⋮ Estimates for maximal functions associated with hypersurfaces in \(\mathbb R^3\) and related problems of harmonic analysis ⋮ Dispersal density estimation across scales ⋮ Integrability of the Fourier transforms of measures concentrated on hypersurfaces ⋮ Generalized localization and summability almost everywhere of multiple Fourier series and integrals ⋮ Weierstrass polynomials in estimates of oscillatory integrals ⋮ Hardy-type results on the average of the lattice point error term over long intervals ⋮ Summation of multiple trigonometric Fourier series ⋮ The number of integer points in a family of anisotropically expanding domains ⋮ Weak type estimates of square functions associated with quasiradial Bochner-Riesz means on certain Hardy spaces ⋮ Weak type estimates on certain Hardy spaces for smooth cone type multipliers ⋮ Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces ⋮ Spherical means and the restriction phenomenon ⋮ Hyperplane integrability conditions and smoothing for Radon transforms ⋮ Averages of functions over hypersurfaces in \(\mathbb R^n\) ⋮ The lattice point counting problem on the Heisenberg groups ⋮ Fourier transforms of indicator functions, lattice point discrepancy, and the stability of integrals ⋮ Lattice points in rotated convex domains ⋮ Nombre de points entiers dans une famille homothétique de domaines de ${R}$ ⋮ Estimates for the Fourier transform of the characteristic function of a convex set ⋮ A remark on the asymptotic properties of eigenvalues and the lattice point problem ⋮ Uniform convergence of spectral resolutions ⋮ Summability almost everywhere of Fourier series in \(L_ p\) with respect to eigenfunctions ⋮ Number of lattice points in families of homothetic domains in \(R^ n\) ⋮ LP -bound for the Fourier Transform of Surface-Carried Measures Supported on Hypersurfaces with D∞ Type Singularities ⋮ Damping oscillatory integrals ⋮ Localization conditions of spectral expansions, corresponding to elliptic operators with constant coefficients ⋮ A priori estimates for higher order hyperbolic equations
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