Horváth, Miklos Sur le développement spectral de l’opérateur de Schrödinger. (On the spectral expansion of the Schrödinger operator). (French) Zbl 0711.47027 C. R. Acad. Sci., Paris, Sér. I 311, No. 9, 499-502 (1990). We prove the local uniform convergence of spectral expansions of the Laplace operator with discrete spectrum lying in the complex plane. For the selfadjoint Schrödinger operator with arbitrary spectrum we obtain convergence in Liouville classes. We get an estimate of the Green function. Cited in 2 ReviewsCited in 2 Documents MSC: 47F05 General theory of partial differential operators 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35J10 Schrödinger operator, Schrödinger equation 47A10 Spectrum, resolvent Keywords:local uniform convergence of spectral expansions of the Laplace operator with discrete spectrum; selfadjoint Schrödinger operator with arbitrary spectrum; convergence in Liouville classes; Green function PDFBibTeX XMLCite \textit{M. Horváth}, C. R. Acad. Sci., Paris, Sér. I 311, No. 9, 499--502 (1990; Zbl 0711.47027)