LEADER 02492nam 22005055 450 001 9910720060503321 005 20251008145138.0 010 $a3-031-28398-8 024 7 $a10.1007/978-3-031-28398-7 035 $a(MiAaPQ)EBC7246015 035 $a(Au-PeEL)EBL7246015 035 $a(DE-He213)978-3-031-28398-7 035 $a(OCoLC)1378937973 035 $a(PPN)270614036 035 $a(CKB)26581858000041 035 $a(EXLCZ)9926581858000041 100 $a20230504d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSolvable Algebras of Pseudodifferential Operators /$fby Boris Plamenevskii, Oleg Sarafanov 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2023. 215 $a1 online resource (249 pages) 225 1 $aPseudo-Differential Operators, Theory and Applications,$x2297-0363 ;$v15 311 08$aPrint version: Plamenevskii, Boris Solvable Algebras of Pseudodifferential Operators Cham : Springer International Publishing AG,c2023 9783031283970 320 $aIncludes bibliographical references. 330 $aThis book presents original research results on pseudodifferential operators. C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of irreducible representations are listed; as a consequence, a criterion for a pseudodifferential operator to be Fredholm is stated, the topology on the spectrum is described, and a solving series is constructed. Pseudodifferential operators on manifolds with edges are introduced, their properties are considered in details, and an algebra generated by the operators is studied. An introductory chapter includes all necessary preliminaries from the theory of pseudodifferential operators and C*-algebras. 410 0$aPseudo-Differential Operators, Theory and Applications,$x2297-0363 ;$v15 606 $aOperator theory 606 $aOperator Theory 615 0$aOperator theory. 615 14$aOperator Theory. 676 $a515.7242 700 $aPlamenevskii$b Boris$01355317 702 $aSarafanov$b Oleg 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910720060503321 996 $aSolvable Algebras of Pseudodifferential Operators$93359442 997 $aUNINA