Large time behaviour of heat propagator
Bulletin des Sciences Mathematiques
Let S be a Damek–Ricci space and Δ be the Laplace–Beltrami operator of S. We explore the behaviour of heat propagator in S in large time to illustrate the differences with the corresponding results in Rn. In particular we study the relation between the limiting behaviour of the ball-averages as radius tends to ∞ and that of the heat propagator as time goes to ∞ and use this relation for characterization of eigenfunctions of Δ.
Naik, Muna; Ray, Swagato K.; and Sarkar, Rudra P., "Large time behaviour of heat propagator" (2021). Journal Articles. 2060.