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Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) |
BoossBernhelm <1941->
WojciechowskiKrzysztof P. <1953-> |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-37900-X
9786611379001 981-277-360-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories
The Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary Eta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces Part IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions An Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS A New Spectral Cancellation in Quantum Gravity |
| Record Nr. | UNINA-9910458283503321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis, geometry and topology of elliptic operators / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; Hackensack, N. J. : World Scientific, c2006 |
| Descrizione fisica | xi, 540 p. ; 24 cm |
| Disciplina | 515.7242 |
| Altri autori (Persone) |
Booss, Bernhelm
Wojciechowski, Krzysztof P. |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| ISBN | 9812568050 |
| Classificazione |
AMS 58-06
LC QA329.42.A52 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002453539707536 |
| Singapore ; Hackensack, N. J. : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) |
BoossBernhelm <1941->
WojciechowskiKrzysztof P. <1953-> |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| ISBN |
1-281-37900-X
9786611379001 981-277-360-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories
The Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary Eta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces Part IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions An Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS A New Spectral Cancellation in Quantum Gravity |
| Record Nr. | UNINA-9910784854603321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) |
BoossBernhelm <1941->
WojciechowskiKrzysztof P. <1953-> |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| ISBN |
1-281-37900-X
9786611379001 981-277-360-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories
The Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary Eta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces Part IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions An Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS A New Spectral Cancellation in Quantum Gravity |
| Record Nr. | UNINA-9910813044403321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analytic deformations of the spectrum of a family of Dirac operators on an odd-dimensional manifold with boundary / / P. Kirk, E. Klassen
| Analytic deformations of the spectrum of a family of Dirac operators on an odd-dimensional manifold with boundary / / P. Kirk, E. Klassen |
| Autore | Kirk P (Paul) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina | 515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Elliptic
Complex manifolds Dirac equation Spectral theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0177-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Chapter 7. Time derivatives of extended L[sup(2)] and APS eigenvalues""""7.1. Deformations of APS and extended L[sup(2)] eigenvalues coincide""; ""7.2. Proof of Theorem 7.1""; ""Bibliography"" |
| Record Nr. | UNINA-9910480740603321 |
Kirk P (Paul)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analytic deformations of the spectrum of a family of Dirac operators on an odd-dimensional manifold with boundary / / P. Kirk, E. Klassen
| Analytic deformations of the spectrum of a family of Dirac operators on an odd-dimensional manifold with boundary / / P. Kirk, E. Klassen |
| Autore | Kirk P (Paul) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina | 515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Elliptic
Complex manifolds Dirac equation Spectral theory (Mathematics) |
| ISBN | 1-4704-0177-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Chapter 7. Time derivatives of extended L[sup(2)] and APS eigenvalues""""7.1. Deformations of APS and extended L[sup(2)] eigenvalues coincide""; ""7.2. Proof of Theorem 7.1""; ""Bibliography"" |
| Record Nr. | UNINA-9910788730903321 |
|
Kirk P (Paul)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analytic deformations of the spectrum of a family of Dirac operators on an odd-dimensional manifold with boundary / / P. Kirk, E. Klassen
| Analytic deformations of the spectrum of a family of Dirac operators on an odd-dimensional manifold with boundary / / P. Kirk, E. Klassen |
| Autore | Kirk P (Paul) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina | 515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Elliptic
Complex manifolds Dirac equation Spectral theory (Mathematics) |
| ISBN | 1-4704-0177-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Chapter 7. Time derivatives of extended L[sup(2)] and APS eigenvalues""""7.1. Deformations of APS and extended L[sup(2)] eigenvalues coincide""; ""7.2. Proof of Theorem 7.1""; ""Bibliography"" |
| Record Nr. | UNINA-9910817222103321 |
|
Kirk P (Paul)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation / / Benoît Mselati
| Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation / / Benoît Mselati |
| Autore | Mselati Benoît <1977-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina | 515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Differential equations, Elliptic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0396-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction and statement of the results""; ""Chapter 1. An analytic approach to the equation Î?u = u[sup(2)]""; ""1.1. Parametrization near the boundary of the domain""; ""1.2. Basic facts about linear elliptic PDE's""; ""1.3. The equation Î?u = u[sup(2)]""; ""Chapter 2. A probabilistic approach to the equation Î?u = u[sup(2)]""; ""2.1. Linear elliptic PDE's and Brownian motion""; ""2.2. The Brownian snake""; ""2.3. Stochastic boundary values""; ""2.4. Fine topology and fine trace""; ""2.5. Two key problems""; ""Chapter 3. Lower bounds for solutions""
""Main results proved in this chapter""""3.1. Upper bounds for u[sub(K)] in terms of the boundary capacity of K""; ""3.2. Lower bounds for cr-moderate solutions""; ""3.3. Synthesis""; ""Chapter 4. Upper bounds for solutions""; ""Main results proved in this chapter""; ""4.1. The case of a ""strongly star-shaped domain""""; ""4.2. The case of a general domain""; ""4.3. Proof of Proposition 4.1""; ""Chapter 5. The classification and representation of the solutions of Î?u = u[sup(2)] in a domain""; ""5.1. Representation of solutions""; ""5.2. Admissible traces and classification results"" ""Appendix A. Technical results""""A.1. Parametrization near the boundary""; ""A.2. Estimates for the Green function""; ""A.3. The auxiliary function p""; ""A.4. Proof of Lemma 2.20""; ""Appendix. Bibliography""; ""Notation index""; ""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""P""; ""R""; ""S""; ""T"" |
| Record Nr. | UNINA-9910480524503321 |
|
Mselati Benoît <1977->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation / / Benoît Mselati
| Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation / / Benoît Mselati |
| Autore | Mselati Benoît <1977-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina | 515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Differential equations, Elliptic |
| ISBN | 1-4704-0396-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction and statement of the results""; ""Chapter 1. An analytic approach to the equation Î?u = u[sup(2)]""; ""1.1. Parametrization near the boundary of the domain""; ""1.2. Basic facts about linear elliptic PDE's""; ""1.3. The equation Î?u = u[sup(2)]""; ""Chapter 2. A probabilistic approach to the equation Î?u = u[sup(2)]""; ""2.1. Linear elliptic PDE's and Brownian motion""; ""2.2. The Brownian snake""; ""2.3. Stochastic boundary values""; ""2.4. Fine topology and fine trace""; ""2.5. Two key problems""; ""Chapter 3. Lower bounds for solutions""
""Main results proved in this chapter""""3.1. Upper bounds for u[sub(K)] in terms of the boundary capacity of K""; ""3.2. Lower bounds for cr-moderate solutions""; ""3.3. Synthesis""; ""Chapter 4. Upper bounds for solutions""; ""Main results proved in this chapter""; ""4.1. The case of a ""strongly star-shaped domain""""; ""4.2. The case of a general domain""; ""4.3. Proof of Proposition 4.1""; ""Chapter 5. The classification and representation of the solutions of Î?u = u[sup(2)] in a domain""; ""5.1. Representation of solutions""; ""5.2. Admissible traces and classification results"" ""Appendix A. Technical results""""A.1. Parametrization near the boundary""; ""A.2. Estimates for the Green function""; ""A.3. The auxiliary function p""; ""A.4. Proof of Lemma 2.20""; ""Appendix. Bibliography""; ""Notation index""; ""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""P""; ""R""; ""S""; ""T"" |
| Record Nr. | UNINA-9910788746103321 |
|
Mselati Benoît <1977->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation / / Benoît Mselati
| Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation / / Benoît Mselati |
| Autore | Mselati Benoît <1977-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina | 515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Differential equations, Elliptic |
| ISBN | 1-4704-0396-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction and statement of the results""; ""Chapter 1. An analytic approach to the equation Î?u = u[sup(2)]""; ""1.1. Parametrization near the boundary of the domain""; ""1.2. Basic facts about linear elliptic PDE's""; ""1.3. The equation Î?u = u[sup(2)]""; ""Chapter 2. A probabilistic approach to the equation Î?u = u[sup(2)]""; ""2.1. Linear elliptic PDE's and Brownian motion""; ""2.2. The Brownian snake""; ""2.3. Stochastic boundary values""; ""2.4. Fine topology and fine trace""; ""2.5. Two key problems""; ""Chapter 3. Lower bounds for solutions""
""Main results proved in this chapter""""3.1. Upper bounds for u[sub(K)] in terms of the boundary capacity of K""; ""3.2. Lower bounds for cr-moderate solutions""; ""3.3. Synthesis""; ""Chapter 4. Upper bounds for solutions""; ""Main results proved in this chapter""; ""4.1. The case of a ""strongly star-shaped domain""""; ""4.2. The case of a general domain""; ""4.3. Proof of Proposition 4.1""; ""Chapter 5. The classification and representation of the solutions of Î?u = u[sup(2)] in a domain""; ""5.1. Representation of solutions""; ""5.2. Admissible traces and classification results"" ""Appendix A. Technical results""""A.1. Parametrization near the boundary""; ""A.2. Estimates for the Green function""; ""A.3. The auxiliary function p""; ""A.4. Proof of Lemma 2.20""; ""Appendix. Bibliography""; ""Notation index""; ""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""P""; ""R""; ""S""; ""T"" |
| Record Nr. | UNINA-9910808074203321 |
|
Mselati Benoît <1977->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
