Local uniform convergence of the eigenfunction expansion associated with the Laplace operator. I
Copyright policy )Local uniform convergence of the eigenfunction expansion associated with the Laplace operator. I
See the joint review of Parts I and II below (Zbl 0821.35106).
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Bessel-Macdonald kernel, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Liouville class, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Riesz basis
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Bessel-Macdonald kernel, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Liouville class, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Riesz basis
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