Eigenfunction expansions and the Pinsky phenomenon on compact manifolds

DOI10.1007/BF02511223zbMath1065.58023MaRDI QIDQ5949118

Michael E. Taylor

Publication date: 2001

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59695

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Wave equation (35L05) Fourier integral operators applied to PDEs (35S30)

Related Items (15)

On spectral expansions of piecewise smooth functions depending on the geodesic distance ⋮ 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 ⋮ On the Pinsky phenomenon ⋮ On the localization of the Riesz means of multiple Fourier series of distributions ⋮ 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 ⋮ On summability of eigenfunction expansions of piecewise smooth functions ⋮ Finsler Structures and Wave Propagation ⋮ On the summability of spectral expansions of piecewise smooth functions ⋮ Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms ⋮ Unnamed Item ⋮ On eigenfunction expansions of piecewise smooth functions, associated with the power of the Schrödinger operator

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