3 papers
math.AP2026
Bisingular pseudodifferential operators on products of compact Lie groups
G. Drei, S. Federico, A. Parmeggiani
In this paper we develop the calculus of bisingular pseudodifferential operators on the product compact Lie groups, which extends the one that was earlier introduced by t…
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.FA2026
Poincaré inequalities on Carnot Groups and spectral gap of Schrödinger operators
Marianna Chatzakou, Serena Federico, Boguslaw Zegarlinski
In this work we give a sufficient condition under which the global Poincaré inequality on Carnot groups holds true for a large family of probability measures absolutely continuous…