Trace Functionals for a Class of Pseudo-Differential Operators in R n |
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Authors: | Nicola Fabio |
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Affiliation: | (1) Dipartimento di Matematica, via Carlo Alberto 10, 10123 Turin, Italy |
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Abstract: | In this paper we define trace functionals on the algebra of pseudo-differential operators with cone-shaped exits to infinity. Furthermore, we improve the Weyl formula on the asymptotic distribution of eigenvalues and make use of it in order to establish inclusion relations between the interpolation normed ideals of compact operators in L2(Rn) and the above operator classes. |
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Keywords: | Dixmier trace noncommutative residue pseudo-differential operators trace functionals Weyl formula |
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