Noncommutative residue
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Template:Short description In mathematics, noncommutative residue, defined independently by M. Script error: No such module "Footnotes". and Script error: No such module "Footnotes"., is a certain trace on the algebra of pseudodifferential operators on a compact differentiable manifold that is expressed via a local density. In the case of the circle, the noncommutative residue had been studied earlier by M. Script error: No such module "Footnotes". and Y. Script error: No such module "Footnotes". in the context of one-dimensional integrable systems.
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