Magnetic pseudodifferential operators with coefficients in C*-algebras
Mathematical Physics
2011-01-11 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0901.3704,
title = {Magnetic pseudodifferential operators with coefficients in C*-algebras},
author = {Max Lein and M. Mantoiu and S. Richard},
journal= {arXiv preprint arXiv:0901.3704},
year = {2011}
}
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23 pages