Artículos de revistas
Commutator Criteria for Magnetic Pseudodifferential Operators
Fecha
2009-03-12Autor
Iftimie, Viorel
Mǎntoiu, Marius
Purice, Radu
Institución
Resumen
The gauge covariant magnetic Weyl calculus has been introduced and studied in previous works. We prove
criteria in terms of commutators for operators to be magnetic pseudodifferential operators of suitable symbol
classes. The approach is completely intrinsic; neither the statements nor the proofs depend on a choice of a
vector potential. We apply this criteria to inversion problems, functional calculus, affiliation results and to the
study of the evolution group generated by a magnetic pseudodifferential operator.