2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61500We compute the coefficients in asymptotics of regularized traces and associated trace (spectral) distributions for Schrodinger operators, with short and long range potentials. A kernel expansion for the Schrodinger semigroup is derived, and a connection with non-commutative Taylor formulas is established.19 pages; Abstract changed, exposition substantially revisedSpectral TheoryMathematical Physicstext