3 papers
math.AP2026
Weyl Calculus on Graded Groups
Serena Federico, David Rottensteiner, Michael Ruzhansky
The aim of this paper is to establish a pseudo-differential Weyl calculus on graded nilpotent Lie groups which extends the celebrated Weyl calculus on . To reach…
math.AP2026
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 th…
math.FA2025
Oscillating singular integral operators on graded Lie groups revisited
Duván Cardona, Michael Ruzhansky
In this work, we extend the Euclidean theory of oscillating singular integrals due to Fefferman and Stein in \cite{Fefferman1970,FeffermanStein1972} to arbitrary graded Lie groups.…