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Record Nr. |
UNINA9910480531703321 |
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Titolo |
Geometric and spectral analysis / / Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island ; ; Montréal, Québec : , : American Mathematical Society : , : Centre de Recherches Mathematiques, , 2014 |
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©2014 |
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ISBN |
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Descrizione fisica |
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1 online resource (366 p.) |
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Collana |
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Contemporary Mathematics. Centre de Recherches Mathématiques Proceedings, , 1098-3627 ; ; 613 |
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Disciplina |
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Soggetti |
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Spectrum analysis |
Geometric analysis |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"CRM Workshops on: Geometry of Eigenvalues and Eigenfunctions, June 4-8, 2012, Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, July 2-6, 2012, Spectral Invariants on Non-compact and Singular Spaces, July 23-27, 2012, Centre de Recherches Mathematiques, University de Montreal, Montreal, Quebec, Canada."--Cover. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters. |
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Nota di contenuto |
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""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. |
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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"" |
""1. Introduction"" |
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