Reduction of operators with almost periodic symbols to operators overC
*-Algebras on sections of associated bundles over a torus |
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Authors: | Oleg G Filippov |
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Institution: | (1) Chair of Higher Geometry and Topology Mechanics-Mathematics Faculty, Moscow State University, 119 899 Moscow, USSR |
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Abstract: | A decomposition of any pseudodifferential operator (D) onR
n
with almost periodic symbol as 113-1 1 is obtained in the paper, where
A
(D) is a pseudodifferential operator over a certainC
*-algebraA acting on sections of a vector bundle over a torusT
n whose fibre isA. The coincidence of spectra sp (D) = sp
A
(D) is proved for all (D) either bounded or elliptic. |
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Keywords: | |
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