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Titolo: | Geometric and spectral analysis / / Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors |
Pubblicazione: | Providence, Rhode Island ; ; Montréal, Québec : , : American Mathematical Society : , : Centre de Recherches Mathematiques, , 2014 |
©2014 | |
Descrizione fisica: | 1 online resource (366 p.) |
Disciplina: | 516 |
Soggetto topico: | Spectrum analysis |
Geometric analysis | |
Classificazione: | 58J0558J4058J5058J5253C5560D0549R0546E3553A3035Q41 |
Persona (resp. second.): | AlbinPierre <1976-> |
JakobsonDmitry <1970-> | |
RochonFrédéric <1978-> | |
Note generali: | "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. |
Nota di bibliografia: | Includes bibliographical references at the end of each chapters. |
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... |
Titolo autorizzato: | Geometric and spectral analysis |
ISBN: | 1-4704-2059-7 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910820221603321 |
Lo trovi qui: | Univ. Federico II |
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