- 09-13 M. Lein, M. Mantoiu and S. Richard
- Magnetic pseudodifferential operators with coefficients in C*-algebras
Jan 23, 09
(auto. generated ps),
of related papers
Abstract. In previous articles, a magnetic pseudodifferential calculus and a family of C*-algebras associated with twisted dynamical systems were introduced and the connections between them have been established. We extend this formalism to symbol classes of H\"ormander type with an x-behavior modelized by an abelian C*-algebra. Some of these classes generate C*-algebras associated with the twisted dynamical system. We show the relevance of these classes to the spectral analysis of pseudodifferential operators with anisotropic symbols and magnetic fields.