Solvable Algebras of Pseudodifferential Operators
Solvable Algebras of Pseudodifferential Operators
English | 2023 | ISBN: 303128397X | 249 Pages | PDF | 5 MB
English | 2023 | ISBN: 303128397X | 249 Pages | PDF | 5 MB
C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of irreducible representations are listed; as a consequence, a criterion for a pseudodifferential operator to be Fredholm is stated, the topology on the spectrum is described, and a solving series is constructed.