LEADER 04787nam 2200625 450 001 9910807038503321 005 20170816143309.0 010 $a1-4704-0375-7 035 $a(CKB)3360000000464961 035 $a(EBL)3114477 035 $a(SSID)ssj0000973831 035 $a(PQKBManifestationID)11630733 035 $a(PQKBTitleCode)TC0000973831 035 $a(PQKBWorkID)10984579 035 $a(PQKB)10207350 035 $a(MiAaPQ)EBC3114477 035 $a(RPAM)13052067 035 $a(PPN)195416635 035 $a(EXLCZ)993360000000464961 100 $a20030108h20032003 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPseudodifferential analysis on conformally compact spaces /$f[Robert Lauter] 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2003] 210 4$d©2003 215 $a1 online resource (114 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 777 300 $a"Volume 163, number 777 (fourth of 5 numbers)." 311 $a0-8218-3272-7 320 $aIncludes bibliographical references (pages 79-83) and index. 327 $a""Contents""; ""Introduction""; ""Acknowledgments:""; ""Part 1. Predholm theory for 0-pseudodifferential operators""; ""Chapter 1. Review on basic objects of 0-geometry""; ""1.1. The 0-structure algebra""; ""1.2. The extended 0-blow up""; ""1.3. Relation to the 0-double space X[sup(2)][sub(0)]""; ""1.4. The extended 0-triple space X[sup(3)][sub(0,e)]""; ""1.5. 0-densities""; ""Chapter 2. The small 0-calculus and the 0-calculus with bounds""; ""2.1. The Schwartz kernel theorem revisited""; ""2.2. The small 0-calculus""; ""2.3. Basic properties of the small 0-calculus"" 327 $a""2.4. The 0-calculus with bounds""""2.5. Basic properties of the 0-calculus with bounds""; ""2.6. The indicial function""; ""2.7. General bundles""; ""Chapter 3. The b-c-calculus on an interval""; ""3.1. The b-c-structure algebra""; ""3.2. The b-c-double space""; ""3.3. b-c-densities""; ""3.4. The b-c calculus with bounds""; ""3.5. Basic properties of the b-c-calculus""; ""3.6. Fredholm theory for the b-c-calculus""; ""3.7. Invariance of the b-c-calculus under the R[sub(+)]-action""; ""3.8. C*-algebras of b-c-operators""; ""3.9. General bundles""; ""Chapter 4. The reduced normal operator"" 327 $a""4.1. Definition of the reduced normal operator""""4.2. Coordinate invariance of the reduced normal operator""; ""4.3. Scale invariance of the reduced normal operator""; ""4.4. Characterization of the reduced normal operator""; ""4.5. Basic properties of the reduced normal operator""; ""4.6. The case of 0-differential operators""; ""4.7. General bundles""; ""Chapter 5. Weighted 0-Sobolev spaces""; ""5.1. Boundedness of 0-operators of order 0 on L[sup(2)]-spaces""; ""5.2. Weighted 0-Sobolev spaces""; ""5.3. General bundles""; ""Chapter 6. Fredholm theory for 0-pseudodifferential operators"" 327 $a""6.1. Symbol reproducing families""""6.2. Characterization of Fredholm operators in I??[sup(0)][sub(0)](X; [sup(0)]I?©[sup(1/2)])""; ""6.3. Characterization of Fredholm operators inI??[sup(m,k)][sub(0)](X; [sup(0)]I?©[sup(1/2)])""; ""6.4. General bundles""; ""Part 2. Algebras of 0-pseudodifferential operators of order 0""; ""Chapter 7. C*-algebras of 0-pseudodifferential operators""; ""7.1. Solvable C*-algebras""; ""7.2. The reduced normal operator on S*a???X""; ""7.3. Extension of the symbolic structure""; ""7.4. The C*-algebra generated by the reduced normal operator"" 327 $a""7.5. The C*-algebra B[sup((a))][sub(0)](X,[sup(0)]I?©[sup(1/2)])""""7.6. The spectrum of the C*-algebra B[sup((a))][sub(0)](X,[sup(0)]I?©[sup(1/2)])""; ""Chapter 8. I??*-algebras of 0-pseudodifferential operators""; ""8.1. Submultiplicative I??*-algebras""; ""8.2. I??*-completions of b-c-and 0-calculus""; ""Appendix A. Spaces of conormal functions""; ""Bibliography""; ""Notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""V""; ""W"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 777. 606 $aPseudodifferential operators 606 $aCompact spaces 606 $aManifolds (Mathematics) 615 0$aPseudodifferential operators. 615 0$aCompact spaces. 615 0$aManifolds (Mathematics) 676 $a510 s 676 $a515/.7242 700 $aLauter$b Robert$f1967-$01608766 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910807038503321 996 $aPseudodifferential analysis on conformally compact spaces$93935685 997 $aUNINA