2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/201540We develop a new method for the calculation of the heat trace asymptotics of the Laplacian on symmetric spaces that is based on a representation of the heat semigroup in form of an average over the Lie group of isometries and obtain a generating function for the whole sequence of all heat invariants.20 pages, Proceedings of the Conference "Midwest Geometry Conference 2006", University of Oklahoma, Norman, OK, May 5-7, 2006; References are updatedDifferential GeometryGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical PhysicsSpectral Theory58J35, 58J37, 58J50, 53C35text