Localization and convergence of eigenfunction expansions
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Publication:1808998
DOI10.1007/BF01261637zbMath0938.42015MaRDI QIDQ1808998
Luca Brandolini, Leonardo Colzani
Publication date: 15 June 2000
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/59617
Related Items (26)
On pointwise convergence of Fourier series of the Indicator function of \(D\) dimensional ball ⋮ THE GIBBS PHENOMENON, THE PINSKY PHENOMENON, AND VARIANTS FOR EIGENFUNCTION EXPANSIONS ⋮ Almost positive kernels on compact Riemannian manifolds ⋮ On spectral expansions of piecewise smooth functions depending on the geodesic distance ⋮ Approximation of eigenfunctions of elliptic differential operators. ⋮ On the Pinsky phenomenon for B-elliptic operators ⋮ On the smoothness of a function at the convergence point of its spectral expansion associated with B-elliptic operators ⋮ Riemann localisation on the sphere ⋮ On the smoothness of mean values of functions with summable spectral expansion ⋮ The Dirichlet-Jordan test and multidimensional extensions ⋮ On the Gibbs phenomenon for expansions by eigenfunctions of the boundary problem for Dirac system ⋮ On the Pinsky phenomenon ⋮ Pointwise Fourier inversion—An addendum ⋮ Multiple Fourier series and lattice point problems ⋮ Dependence of the convergence domain of spectral expansions on the geometry of the set of discontinuity of the function being expanded ⋮ On multiple Fourier series of piecewise smooth functions ⋮ Generalized Hardy identity and relations to Gibbs-Wilbraham and Pinsky phenomena ⋮ Eigenfunction expansions and the Pinsky phenomenon on compact manifolds ⋮ Planar convex bodies, Fourier transform, lattice points, and irregularities of distribution ⋮ Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces ⋮ On summability of eigenfunction expansions of piecewise smooth functions ⋮ Finsler Structures and Wave Propagation ⋮ On the summability of spectral expansions of piecewise smooth functions ⋮ Pointwise Fourier inversion on tori and other compact manifolds ⋮ Unnamed Item ⋮ Fourier expansions of functions with bounded variation of several variables
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