Fundamental solutions and eigenfunction expansions for Schr�dinger operators I. Fundamental solutions

On the fundamental solution of a perturbed harmonic sscillator

“…This was proved by [Zelditch, 1983] (see also [Y. Fujiwara & Osborn, 1983], [Kitada, 1988], [Jensen, 1986]). The same regularity property of E H (t, x, y) in the case of the potentials with sublinear growth, < 1, follows from the recent results of [Craig, Kappeler & Strauss, 1995].…”