04577nam 2200577 450 991078825620332120220819054212.01-4704-2059-7(CKB)3150000000020212(EBL)3114306(SSID)ssj0001384042(PQKBManifestationID)11888339(PQKBTitleCode)TC0001384042(PQKBWorkID)11325716(PQKB)10262054(MiAaPQ)EBC3114306(RPAM)18173370(PPN)197102735(EXLCZ)99315000000002021220150416h20142014 uy 0engur|n|---|||||txtccrGeometric and spectral analysis /Pierre Albin, Dmitry Jakobson, Frederic Rochon, editorsProvidence, Rhode Island ;Montréal, Québec :American Mathematical Society :Centre de Recherches Mathematiques,2014.©20141 online resource (366 p.)Contemporary mathematics,1098-3627 ;6130271-41320271-4132"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.1-4704-1043-5 Includes bibliographical references at the end of each chapters.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...Contemporary mathematics,Centre de recherches mathématiques proceedings ;6130271-41320271-4132Spectrum analysisCongressesGeometric analysisCongressesSpectrum analysisGeometric analysis51658J0558J4058J5058J5253C5560D0549R0546E3553A3035Q41mscAlbin Pierre1976-Jakobson Dmitry1970-Rochon Frédéric1978-MiAaPQMiAaPQMiAaPQBOOK9910788256203321Geometric and spectral analysis3855177UNINA