$L^p$-asymptotic behaviour of solutions of the heat equation on Riemannian symmetric spaces of noncompact type

Muna Naik, Swagato K. Ray, Jayanta Sarkar

For Riemannian symmetric spaces $X=G/K$ of noncompact type, we show that for all left $K$-invariant $f\in L^1(X)$, the functions $\Vert h_t{\Vert }_{L^p(X)}^{-1}(f\ast h_t-M_p(f)h_t)$ (with…