Resumen de D'Alembert's and Wilson's equations on Lie groups

Peter de Place Friis

• Let G be a connected nilpotent Lie Group. We show that the solutions of the short and the long version of dAlemberts equation on G have the same form as on abelian groups. Furthermore we show that any solution of Wilsons equation in the case g 1 has the form and where is a homomorphism and A and B are complex constants. Finally we solve Jensens equation on a semidirect product of two abelian groups.