Research on pseudo-differential operators on at AIMS Ghana with Master students Linda Botchway and Gaël Kibiti
For more mathematical details see here.
In the above paper one makes a consistent development of the calculus of pseudo-differential operators which can be called pseudo-difference operators in the context of the lattice Some interesting questions to answer:
- how to define Hörmander type or other symbol classes on ?
- what is the relation to the analysis on the torus ?
- can it be used to derive new properties of operators on ?
- how to apply it to solving difference equations and to finding properties of their solutions?