THE GIBBS PHENOMENON, THE PINSKY PHENOMENON, AND VARIANTS FOR EIGENFUNCTION EXPANSIONS

DOI10.1081/PDE-120002866zbMath1090.58019OpenAlexW2034581586MaRDI QIDQ4547609

Michael E. Taylor

Publication date: 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120002866

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items

On pointwise convergence of Fourier series of the Indicator function of \(D\) dimensional ball, Riemann localisation on the sphere, On the Gibbs phenomenon for expansions by eigenfunctions of the boundary problem for Dirac system, On the Pinsky phenomenon, Multiple Fourier series and lattice point problems, On summability of eigenfunction expansions of piecewise smooth functions, Finsler Structures and Wave Propagation, Short Time Behavior of Solutions to Nonlinear Schrödinger Equations in One and Two Space Dimensions, On eigenfunction expansions of piecewise smooth functions, associated with the power of the Schrödinger operator, Fourier expansions of functions with bounded variation of several variables, Riemannian manifolds with maximal eigenfunction growth

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