Commutator Criteria for Magnetic Pseudodifferential Operators
Iftimie_Viorel.pdf (506.2Kb)Abstract
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.
Patrocinador
IV and RP acknowledge partial support from the ANCS Contract No. 2 CEx06-11-18/2006
and MM acknowledge partial support from the Fondecyt Grant No.1085162 and from the N´ucleo Cientifico ICM
P07-027-F ”Mathematical Theory of Quantum and Classical Systems”. RP acknowledges partial support from the
SCOPES Programme and thanks EPF Lausanne where part of this paper has been completed and Tudor Ratiu
for their hospitality.
Identifier
URI: https://repositorio.uchile.cl/handle/2250/119047
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