82 citations · 229 across the 29 of their papers we have counts for
4 papers · 1 filter
On a class of anharmonic oscillators II. General case
Marianna Chatzakou, Julio Delgado, Michael Ruzhansky
In this work we study a class of anharmonic oscillators on corresponding to Hamiltonians of the form , where and are functions…
Analytic functional calculus and Gårding inequality on graded Lie groups with applications to diffusion equations
Duván Cardona, Julio Delgado, Michael Ruzhansky
In this paper we study the Cauchy problem for diffusion equations associated to a class of strongly hypoelliptic pseudo-differential operators on graded Lie groups. To do so, we de…
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…
On the set of Gâteaux differentiability of the norm
Julio Delgado, Andrés F. Muñoz-Tello
Let be a measure space. In this paper we establish the set of Gâteaux differentiability for the usual norm of and the corresponding derivative f…