Pseudodifferential analysis on conformally compact spaces / / [Robert Lauter]

• Autore: Lauter Robert <1967->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2003]; ©2003
• Descrizione fisica: 1 online resource (114 p.)
• Disciplina: 510 s; 515/.7242
• Soggetto topico: Pseudodifferential operators; Compact spaces; Manifolds (Mathematics)
• Note generali: "Volume 163, number 777 (fourth of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references (pages 79-83) and index.
• Nota di contenuto: ""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)]Ω[sup(1/2)])""; ""6.3. Characterization of Fredholm operators inÎ?[sup(m,k)][sub(0)](X; [sup(0)]Ω[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)]Ω[sup(1/2)])""""7.6. The spectrum of the C*-algebra B[sup((a))][sub(0)](X,[sup(0)]Ω[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""
• Titolo autorizzato: Pseudodifferential analysis on conformally compact spaces
• ISBN: 1-4704-0375-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788849603321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 777.