5 papers
Functional calculus for Safarov pseudo-differential operators
Santiago Gómez Cobos, Michael Ruzhansky
Given a smooth, closed Riemannian manifold equipped with a linear connection (not necessarily metric), we develop the holomorphic functional calculus for operators…
Evolutionary integro-differential equations of scalar type on locally compact groups
Santiago Gómez Cobos, Joel E. Restrepo, Michael Ruzhansky
We study existence, uniqueness, norm estimates and asymptotic time behaviour (in some cases can be claimed to be sharp) for the solution of a general evolutionary integral (differe…
estimates for non-local heat and wave type equations on locally compact groups
Santiago Gómez Cobos, Joel E. Restrepo, Michael Ruzhansky
We prove the norm estimates for the solutions of heat and wave type equations on a locally compact separable unimodular group by…
-bounds in Safarov pseudo-differential calculus on manifolds with bounded geometry
Santiago Gómez Cobos, Michael Ruzhansky
Given a smooth complete Riemannian manifold with bounded geometry and a linear connection on it (not necessarily a metric one), we prove the -boundedness of o…
Boundedness of spectral multipliers on locally compact groups and applications
Santiago Gómez Cobos, Joel E. Restrepo, Michael Ruzhansky
We prove that the noncommutative Lorentz norm (associated to a semifinite von Neumann algebra) of a propagator of the form can be estimated if the modulus of the…