Reduction of operators with almost periodic symbols to operators overC*-Algebras on sections of associated bundles over a torus

✍ Scribed by Oleg G. Filippov

• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 596 KB
• Volume: 8
• Category: Article
• ISSN: 0232-704X
• DOI: 10.1007/bf00127997

✦ Synopsis

A decomposition of any pseudodifferential operator o(D) on R with almost periodic symbol as a(D) = oA(D) ® 1 is obtained in the paper, where oA(D) is a pseudodifferential operator over a certain C*-algebra A acting on sections of a vector bundle over a torus T whose fibre is A. The coincidence of spectra sp (D) = sp UA(D) is proved for all a(D) either bounded or elliptic.