Magnetic pseudodifferential operators with coeffcients in C*-algebras

Max Lein, Marius Mǎntoiu, Serge Richard

研究成果: Article査読

19 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)755-788
ページ数34
ジャーナルPublications of the Research Institute for Mathematical Sciences
46
4
DOI
出版ステータスPublished - 2010 12 13
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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