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 Hörmander type with an x-behavior modeled 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.
|ジャーナル||Publications of the Research Institute for Mathematical Sciences|
|出版ステータス||Published - 2010 12 13|
ASJC Scopus subject areas
- 数学 (全般)