%0 Journal Article
%T Sobolev spaces associated to the harmonic oscillator
%A B Bongioanni
%A J L Torrea
%J Mathematics
%D 2006
%I arXiv
%X We define the Hermite--Sobolev spaces naturally associated to the harmonic oscillator $H= -\Delta +|x|^2.$ Structural properties, relations with the classical Sobolev spaces, boundedness of operators and almost everywhere convergence of solutions of the Schr\"odinger equation are also considered.
%U http://arxiv.org/abs/math/0608684v1