Abstract
This article is mainly devoted to the operators indicated in the title. More specifically, we consider elliptic differential and pseudodifferential operators with infinitely smooth symbols on infinitely smooth closed manifolds, i.e. compact manifolds without boundary. We also touch upon some variants of the theory of elliptic operators in ℝn. A separate article (Agranovich 1993) will be devoted to elliptic boundary problems for elliptic partial differential equations and systems.KeywordsElliptic OperatorToeplitz OperatorPseudodifferential OperatorPseudo Differential OperatorSingular Integral OperatorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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