2 citations · 4 across the 11 of their papers we have counts for
33 papers
Global pseudo-differential operators on the Lie group
Duván Cardona, Roland Duduchava, Arne Hendrickx +1
In this work we characterise the Hörmander classes $\symbClassOn{m}ρδ{\group,\textnormal{Hör}}$ on the open manifold $\group = (-1,1)^n$. We show that by endowing the open manifold…
Drift diffusion equations with fractional diffusion on compact Lie groups
Duván Cardona, Julio Delgado, Michael Ruzhansky
In this work we investigate the well-posedness for difussion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The diffusion by strongly elli…
The Wodzicki residue for pseudo-differential operators on compact Lie groups
Duván Cardona
Let be an arbitrary compact Lie group. In this work we apply the method of the analytic continuation of traces in order to compute the Wodzicki residue for a classical pseudo-d…
Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation
Duván Cardona, Julio Delgado, Michael Ruzhansky
\begin{abstract} By following the paradigm of the global quantisation, instead of the analysis under changes of coordinates, in this work we establish a global analysis for the exp…
A local-to-global weak (1,1) type argument and applications to Fourier integral operators
Duván Cardona, Michael Ruzhansky
In this work we provide a criterion for the global weak (1,1) type of integral operators which are known to be locally uniformly of weak (1,1) type. As an application, we establish…
Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators
Duván Cardona, Michael Ruzhansky
Let and be two smooth manifolds of the same dimension. It was proved by Seeger, Sogge and Stein in \cite{SSS} that the Fourier integral operators with real non-degenerate p…