04787nam 2200625 450 991080703850332120170816143309.01-4704-0375-7(CKB)3360000000464961(EBL)3114477(SSID)ssj0000973831(PQKBManifestationID)11630733(PQKBTitleCode)TC0000973831(PQKBWorkID)10984579(PQKB)10207350(MiAaPQ)EBC3114477(RPAM)13052067(PPN)195416635(EXLCZ)99336000000046496120030108h20032003 uy| 0engur|n|---|||||txtccrPseudodifferential analysis on conformally compact spaces /[Robert Lauter]Providence, Rhode Island :American Mathematical Society,[2003]©20031 online resource (114 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 777"Volume 163, number 777 (fourth of 5 numbers)."0-8218-3272-7 Includes bibliographical references (pages 79-83) and index.""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""""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""""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""""6.1. Symbol reproducing families""""6.2. Characterization of Fredholm operators in Î?[sup(0)][sub(0)](X; [sup(0)]Î©[sup(1/2)])""; ""6.3. Characterization of Fredholm operators inÎ?[sup(m,k)][sub(0)](X; [sup(0)]Î©[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*â??X""; ""7.3. Extension of the symbolic structure""; ""7.4. The C*-algebra generated by the reduced normal operator""""7.5. The C*-algebra B[sup((a))][sub(0)](X,[sup(0)]Î©[sup(1/2)])""""7.6. The spectrum of the C*-algebra B[sup((a))][sub(0)](X,[sup(0)]Î©[sup(1/2)])""; ""Chapter 8. Î?*-algebras of 0-pseudodifferential operators""; ""8.1. Submultiplicative Î?*-algebras""; ""8.2. Î?*-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""Memoirs of the American Mathematical Society ;no. 777.Pseudodifferential operatorsCompact spacesManifolds (Mathematics)Pseudodifferential operators.Compact spaces.Manifolds (Mathematics)510 s515/.7242Lauter Robert1967-1608766MiAaPQMiAaPQMiAaPQBOOK9910807038503321Pseudodifferential analysis on conformally compact spaces3935685UNINA