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Pseudo-differential operators with discontinuous symbols : Widom's conjecture / / A.V. Sobolev
| Pseudo-differential operators with discontinuous symbols : Widom's conjecture / / A.V. Sobolev |
| Autore | Sobolev A. V (Aleksandr Vladimirovich) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 515/.7242 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Pseudodifferential operators |
| ISBN | 0-8218-9509-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Main result""; ""Chapter 3. Estimates for PDO�s with smooth symbols""; ""Chapter 4. Trace-class estimates for operators with non-smooth symbols""; ""Chapter 5. Further trace-class estimates for operators with non-smooth symbols""; ""Chapter 6. A Hilbert-Schmidt class estimate""; ""Chapter 7. Localisation""; ""Chapter 8. Model problem in dimension one""; ""Chapter 9. Partitions of unity, and a reduction to the flat boundary""; ""Chapter 10. Asymptotics of the trace (9.1)""; ""Chapter 11. Proof of Theorem 2.9""
""Chapter 12. Closing the asymptotics: Proof of Theorems 2.3 and 2.4""""Chapter 13. Appendix 1: A lemma by H. Widom""; ""Chapter 14. Appendix 2: Change of variables""; ""Chapter 15. Appendix 3: A trace-class formula""; ""Chapter 16. Appendix 4: Invariance with respect to the affine change of variables""; ""Bibliography"" |
| Record Nr. | UNINA-9910819072503321 |
Sobolev A. V (Aleksandr Vladimirovich)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pseudodifferential analysis on conformally compact spaces / / [Robert Lauter]
| Pseudodifferential analysis on conformally compact spaces / / [Robert Lauter] |
| Autore | Lauter Robert <1967-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
515/.7242 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Pseudodifferential operators
Compact spaces Manifolds (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0375-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910478893403321 |
|
Lauter Robert <1967->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pseudodifferential analysis on conformally compact spaces / / [Robert Lauter]
| Pseudodifferential analysis on conformally compact spaces / / [Robert Lauter] |
| Autore | Lauter Robert <1967-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
515/.7242 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Pseudodifferential operators
Compact spaces Manifolds (Mathematics) |
| ISBN | 1-4704-0375-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788849603321 |
|
Lauter Robert <1967->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pseudodifferential analysis on conformally compact spaces / / [Robert Lauter]
| Pseudodifferential analysis on conformally compact spaces / / [Robert Lauter] |
| Autore | Lauter Robert <1967-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
515/.7242 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Pseudodifferential operators
Compact spaces Manifolds (Mathematics) |
| ISBN | 1-4704-0375-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910807038503321 |
|
Lauter Robert <1967->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent developments in optimization theory and nonlinear analysis : AMS/IMU Special Session on Optimization and Nonlinear Analysis, May 24-26, 1995, Jerusalem, Israel / / Yair Censor, Simeon Reich, editors
| Recent developments in optimization theory and nonlinear analysis : AMS/IMU Special Session on Optimization and Nonlinear Analysis, May 24-26, 1995, Jerusalem, Israel / / Yair Censor, Simeon Reich, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 515/.7242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Mathematical optimization
Nonlinear functional analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7795-X
0-8218-0515-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""The method of cyclic projections for closed convex sets in Hilbert space""; ""Newton's method with modified functions""; ""Numerical stability of methods for solving augmented systems""; ""Local moduli of convexity and their application to finding almost common fixed points of measurable families of operators""; ""Fixed point theory via nonsmooth analysis""; ""Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces""; ""Determining projections and functionals for weak solutions of the Navier-Stokes equations""
""Parametric Morse lemmas for C1,1-functions""""The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations""; ""Stable approximation of nondifferentiable optimization problems with variational inequalities""; ""Sobolev gradients and boundary conditions for partial differential equations""; ""A nonlinear generalization of Perron-Frobenius theory and periodic points of nonexpansive maps""; ""On generalized quasiconvex conjugation""; ""Subdifferentials of convex functions""; ""Existence and structure of optimal solutions of variational problems"" |
| Record Nr. | UNINA-9910480200903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent developments in optimization theory and nonlinear analysis : AMS/IMU Special Session on Optimization and Nonlinear Analysis, May 24-26, 1995, Jerusalem, Israel / / Yair Censor, Simeon Reich, editors
| Recent developments in optimization theory and nonlinear analysis : AMS/IMU Special Session on Optimization and Nonlinear Analysis, May 24-26, 1995, Jerusalem, Israel / / Yair Censor, Simeon Reich, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 515/.7242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Mathematical optimization
Nonlinear functional analysis |
| ISBN |
0-8218-7795-X
0-8218-0515-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- The method of cyclic projections for closed convex sets in Hilbert space -- Newton's method with modified functions -- Numerical stability of methods for solving augmented systems -- Local moduli of convexity and their application to finding almost common fixed points of measurable families of operators -- Fixed point theory via nonsmooth analysis -- Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces -- Determining projections and functionals for weak solutions of the Navier-Stokes equations -- Parametric Morse lemmas for C1,1-functions -- The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations -- Stable approximation of nondifferentiable optimization problems with variational inequalities -- Sobolev gradients and boundary conditions for partial differential equations -- A nonlinear generalization of Perron-Frobenius theory and periodic points of nonexpansive maps -- On generalized quasiconvex conjugation -- Subdifferentials of convex functions -- Existence and structure of optimal solutions of variational problems. |
| Altri titoli varianti | Optimization and nonlinear analysis |
| Record Nr. | UNINA-9910788648303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent developments in optimization theory and nonlinear analysis : AMS/IMU Special Session on Optimization and Nonlinear Analysis, May 24-26, 1995, Jerusalem, Israel / / Yair Censor, Simeon Reich, editors
| Recent developments in optimization theory and nonlinear analysis : AMS/IMU Special Session on Optimization and Nonlinear Analysis, May 24-26, 1995, Jerusalem, Israel / / Yair Censor, Simeon Reich, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 515/.7242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Mathematical optimization
Nonlinear functional analysis |
| ISBN |
0-8218-7795-X
0-8218-0515-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- The method of cyclic projections for closed convex sets in Hilbert space -- Newton's method with modified functions -- Numerical stability of methods for solving augmented systems -- Local moduli of convexity and their application to finding almost common fixed points of measurable families of operators -- Fixed point theory via nonsmooth analysis -- Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces -- Determining projections and functionals for weak solutions of the Navier-Stokes equations -- Parametric Morse lemmas for C1,1-functions -- The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations -- Stable approximation of nondifferentiable optimization problems with variational inequalities -- Sobolev gradients and boundary conditions for partial differential equations -- A nonlinear generalization of Perron-Frobenius theory and periodic points of nonexpansive maps -- On generalized quasiconvex conjugation -- Subdifferentials of convex functions -- Existence and structure of optimal solutions of variational problems. |
| Altri titoli varianti | Optimization and nonlinear analysis |
| Record Nr. | UNINA-9910812582103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors
| Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.7242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
K-theory
Operator algebras Pseudodifferential operators Fredholm operators |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7956-1
0-8218-3536-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Part I. Basic Material � Reviews""; ""Spectral Problems from Quantum Field Theory""; ""Euclidean Quantum Gravity in Light of Spectral Geometry""; ""Analysis of Invariants Associated with Spectral Boundary Problems for Elliptic Operators""; ""Part II. Spectral Invariants and Asymptotic Expansions""; ""A Resolvent Approach to Traces and Zeta Laurent Expansions""; ""Asymptotic Expansion of the Zeta�determinant of an Invertible Laplacian on a Stretched Manifold""; ""Agranovich�Dynin Formula for the Zeta�determinants of the Neumann and Dirichlet Problems""
""Part III. Geometric and Topological Problems""""The Calderón Projector for the Odd Signature Operator and Spectral Flow Calculations in 3�dimensional Topology""; ""Cut�and�paste on Foliated Bundles""; ""1. Introduction""; ""2. Spectral flow""; ""3. Foliated bundles, index classes and the noncommutative spectral flow""; ""4. Index classes on foliated bundles with boundary""; ""5. Fundamental properties of b-index classes""; ""6. On the cut-and-paste invariance of the signature index class""; ""7. Geometric applications""; ""References"" ""The Uniqueness of the Spectral Flow on Spaces of Unbounded Self�adjoint Fredholm Operators""""Variants of Equivariant Seiberg�Witten Floer Homology""; ""Part IV. Manifolds with Singularities""; ""Dirac Operators, Boundary Value Problems, and the b�calculus""; ""Guillemin Transform and Toeplitz Representations for Operators Singular Manifolds""; ""Pseudodifferential Operators on Non�compact Manifolds and Analysis on Polyhedral Domains""; ""Introduction""; ""1. Boundary value problems""; ""2. Lie algebras of vector fields""; ""3. Melrose's quantization problem"" ""4. An application to Fredholm conditions""""5. Examples""; ""6. Spectra""; ""References"" |
| Record Nr. | UNINA-9910480977503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors
| Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.7242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
K-theory
Operator algebras Pseudodifferential operators Fredholm operators |
| ISBN |
0-8218-7956-1
0-8218-3536-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Part I. Basic Material � Reviews""; ""Spectral Problems from Quantum Field Theory""; ""Euclidean Quantum Gravity in Light of Spectral Geometry""; ""Analysis of Invariants Associated with Spectral Boundary Problems for Elliptic Operators""; ""Part II. Spectral Invariants and Asymptotic Expansions""; ""A Resolvent Approach to Traces and Zeta Laurent Expansions""; ""Asymptotic Expansion of the Zeta�determinant of an Invertible Laplacian on a Stretched Manifold""; ""Agranovich�Dynin Formula for the Zeta�determinants of the Neumann and Dirichlet Problems""
""Part III. Geometric and Topological Problems""""The Calderón Projector for the Odd Signature Operator and Spectral Flow Calculations in 3�dimensional Topology""; ""Cut�and�paste on Foliated Bundles""; ""1. Introduction""; ""2. Spectral flow""; ""3. Foliated bundles, index classes and the noncommutative spectral flow""; ""4. Index classes on foliated bundles with boundary""; ""5. Fundamental properties of b-index classes""; ""6. On the cut-and-paste invariance of the signature index class""; ""7. Geometric applications""; ""References"" ""The Uniqueness of the Spectral Flow on Spaces of Unbounded Self�adjoint Fredholm Operators""""Variants of Equivariant Seiberg�Witten Floer Homology""; ""Part IV. Manifolds with Singularities""; ""Dirac Operators, Boundary Value Problems, and the b�calculus""; ""Guillemin Transform and Toeplitz Representations for Operators Singular Manifolds""; ""Pseudodifferential Operators on Non�compact Manifolds and Analysis on Polyhedral Domains""; ""Introduction""; ""1. Boundary value problems""; ""2. Lie algebras of vector fields""; ""3. Melrose's quantization problem"" ""4. An application to Fredholm conditions""""5. Examples""; ""6. Spectra""; ""References"" |
| Altri titoli varianti | Spectral geometry |
| Record Nr. | UNINA-9910788658403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors
| Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.7242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
K-theory
Operator algebras Pseudodifferential operators Fredholm operators |
| ISBN |
0-8218-7956-1
0-8218-3536-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Part I. Basic Material � Reviews""; ""Spectral Problems from Quantum Field Theory""; ""Euclidean Quantum Gravity in Light of Spectral Geometry""; ""Analysis of Invariants Associated with Spectral Boundary Problems for Elliptic Operators""; ""Part II. Spectral Invariants and Asymptotic Expansions""; ""A Resolvent Approach to Traces and Zeta Laurent Expansions""; ""Asymptotic Expansion of the Zeta�determinant of an Invertible Laplacian on a Stretched Manifold""; ""Agranovich�Dynin Formula for the Zeta�determinants of the Neumann and Dirichlet Problems""
""Part III. Geometric and Topological Problems""""The Calderón Projector for the Odd Signature Operator and Spectral Flow Calculations in 3�dimensional Topology""; ""Cut�and�paste on Foliated Bundles""; ""1. Introduction""; ""2. Spectral flow""; ""3. Foliated bundles, index classes and the noncommutative spectral flow""; ""4. Index classes on foliated bundles with boundary""; ""5. Fundamental properties of b-index classes""; ""6. On the cut-and-paste invariance of the signature index class""; ""7. Geometric applications""; ""References"" ""The Uniqueness of the Spectral Flow on Spaces of Unbounded Self�adjoint Fredholm Operators""""Variants of Equivariant Seiberg�Witten Floer Homology""; ""Part IV. Manifolds with Singularities""; ""Dirac Operators, Boundary Value Problems, and the b�calculus""; ""Guillemin Transform and Toeplitz Representations for Operators Singular Manifolds""; ""Pseudodifferential Operators on Non�compact Manifolds and Analysis on Polyhedral Domains""; ""Introduction""; ""1. Boundary value problems""; ""2. Lie algebras of vector fields""; ""3. Melrose's quantization problem"" ""4. An application to Fredholm conditions""""5. Examples""; ""6. Spectra""; ""References"" |
| Altri titoli varianti | Spectral geometry |
| Record Nr. | UNINA-9910811800103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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