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Geometric and spectral analysis / / Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors
| Geometric and spectral analysis / / Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors |
| Pubbl/distr/stampa | Providence, Rhode Island ; ; Montréal, Québec : , : American Mathematical Society : , : Centre de Recherches Mathematiques, , 2014 |
| Descrizione fisica | 1 online resource (366 p.) |
| Disciplina | 516 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Spectrum analysis
Geometric analysis |
| ISBN | 1-4704-2059-7 |
| Classificazione | 58J0558J4058J5058J5253C5560D0549R0546E3553A3035Q41 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Contents -- Preface -- A New Proof of a Bismut-Zhang Formula for Some Class of Representations -- 1. Introduction -- 2. The idea of the proof -- 3. The Milnor metric and the Farber-Turaev torsion -- 4. The Ray-Singer norm of the Refined Analytic Torsion -- 5. The Determinant Line Bundle over the Space of Representations -- 6. The Bismut-Zhang theorem for some non-unitary representations -- References -- Tunneling, the Quillen Metric and Analytic Torsion for High Powers of a Holomorphic Line Bundle -- 1. Introduction -- 9. The logarithmic Calabi problem -- Acknowledgements -- References -- Complex -Manifolds -- 1. Introduction -- 2. Complex -structures -- 3. Holomorphic vector bundles -- 4. The boundary of a complex -manifold -- 5. Local invariants -- 6. Indicial complexes -- 7. Underlying CR complexes -- 8. Spectrum -- 9. Indicial cohomology -- Appendix A. Totally characteristic differential operators -- References -- Iterative Structures on Singular Manifolds -- Introduction -- 1. Manifolds with singularities of higher order -- 2. The cone algebra -- 3. The edge algebra -- 4. Shapiro-Lopatinskij edge-ellipticity -- 5. Iterated Mellin quantisation -- 6. Toeplitz edge problems -- References -- The Fundamental Gap and One-Dimensional Collapse -- 1. Motivation and results -- 2. Collapsing triangular domains -- 3. Collapsing polygonal domains -- 4. The general case -- Acknowledgements -- References -- The Logarithmic Singularities of the Green Functions of the Conformal Powers of the Laplacian -- Introduction -- 1. The Heat Kernel of the Laplace Operator -- 2. The Bergman Kernel of a Strictly Pseudoconvex Domain -- 3. Ambient Metric and Conformal Powers of the Laplacian -- 4. Local Conformal Invariants -- 5. Scattering Theory and Conformal Fractional Powers of the Laplacian -- 6. Green Functions of Elliptic Operators -- 7. Green Functions and Conformal Geometry -- 8. Proof of Theorem 7.3 -- References -- A Symbolic Calculus for Fourier Integral Operators -- Introduction -- 1. Notation and definitions -- 2. Canonical transformations in * -- 3. Fourier integral operators -- 4. Symbolic calculus for FIOs -- References -- Strichartz Estimates on Exterior Polygonal Domains -- Cont... |
| Record Nr. | UNINA-9910788256203321 |
| Providence, Rhode Island ; ; Montréal, Québec : , : American Mathematical Society : , : Centre de Recherches Mathematiques, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric and spectral analysis / / Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors
| Geometric and spectral analysis / / Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors |
| Pubbl/distr/stampa | Providence, Rhode Island ; ; Montréal, Québec : , : American Mathematical Society : , : Centre de Recherches Mathematiques, , 2014 |
| Descrizione fisica | 1 online resource (366 p.) |
| Disciplina | 516 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Spectrum analysis
Geometric analysis |
| ISBN | 1-4704-2059-7 |
| Classificazione | 58J0558J4058J5058J5253C5560D0549R0546E3553A3035Q41 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Contents -- Preface -- A New Proof of a Bismut-Zhang Formula for Some Class of Representations -- 1. Introduction -- 2. The idea of the proof -- 3. The Milnor metric and the Farber-Turaev torsion -- 4. The Ray-Singer norm of the Refined Analytic Torsion -- 5. The Determinant Line Bundle over the Space of Representations -- 6. The Bismut-Zhang theorem for some non-unitary representations -- References -- Tunneling, the Quillen Metric and Analytic Torsion for High Powers of a Holomorphic Line Bundle -- 1. Introduction -- 9. The logarithmic Calabi problem -- Acknowledgements -- References -- Complex -Manifolds -- 1. Introduction -- 2. Complex -structures -- 3. Holomorphic vector bundles -- 4. The boundary of a complex -manifold -- 5. Local invariants -- 6. Indicial complexes -- 7. Underlying CR complexes -- 8. Spectrum -- 9. Indicial cohomology -- Appendix A. Totally characteristic differential operators -- References -- Iterative Structures on Singular Manifolds -- Introduction -- 1. Manifolds with singularities of higher order -- 2. The cone algebra -- 3. The edge algebra -- 4. Shapiro-Lopatinskij edge-ellipticity -- 5. Iterated Mellin quantisation -- 6. Toeplitz edge problems -- References -- The Fundamental Gap and One-Dimensional Collapse -- 1. Motivation and results -- 2. Collapsing triangular domains -- 3. Collapsing polygonal domains -- 4. The general case -- Acknowledgements -- References -- The Logarithmic Singularities of the Green Functions of the Conformal Powers of the Laplacian -- Introduction -- 1. The Heat Kernel of the Laplace Operator -- 2. The Bergman Kernel of a Strictly Pseudoconvex Domain -- 3. Ambient Metric and Conformal Powers of the Laplacian -- 4. Local Conformal Invariants -- 5. Scattering Theory and Conformal Fractional Powers of the Laplacian -- 6. Green Functions of Elliptic Operators -- 7. Green Functions and Conformal Geometry -- 8. Proof of Theorem 7.3 -- References -- A Symbolic Calculus for Fourier Integral Operators -- Introduction -- 1. Notation and definitions -- 2. Canonical transformations in * -- 3. Fourier integral operators -- 4. Symbolic calculus for FIOs -- References -- Strichartz Estimates on Exterior Polygonal Domains -- Cont... |
| Record Nr. | UNINA-9910820221603321 |
| Providence, Rhode Island ; ; Montréal, Québec : , : American Mathematical Society : , : Centre de Recherches Mathematiques, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||