LEADER 04665nam 2200613 450 001 9910480531703321 005 20180731045123.0 010 $a1-4704-2059-7 035 $a(CKB)3150000000020212 035 $a(EBL)3114306 035 $a(SSID)ssj0001384042 035 $a(PQKBManifestationID)11888339 035 $a(PQKBTitleCode)TC0001384042 035 $a(PQKBWorkID)11325716 035 $a(PQKB)10262054 035 $a(MiAaPQ)EBC3114306 035 $a(PPN)197102735 035 $a(EXLCZ)993150000000020212 100 $a20150416h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aGeometric and spectral analysis /$fPierre Albin, Dmitry Jakobson, Frederic Rochon, editors 210 1$aProvidence, Rhode Island ;$aMontre?al, Que?bec :$cAmerican Mathematical Society :$cCentre de Recherches Mathematiques,$d2014. 210 4$dİ2014 215 $a1 online resource (366 p.) 225 1 $aContemporary Mathematics. Centre de Recherches Mathe?matiques Proceedings,$x1098-3627 ;$v613 300 $a"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. 311 $a1-4704-1043-5 320 $aIncludes bibliographical references at the end of each chapters. 327 $a""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"" 327 $a""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"" 327 $a""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"" 327 $a""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"" 327 $a""1. Introduction"" 410 0$aContemporary mathematics (American Mathematical Society).$pCentre de recherches mathe?matiques proceedings ;$v613. 606 $aSpectrum analysis$vCongresses 606 $aGeometric analysis$vCongresses 608 $aElectronic books. 615 0$aSpectrum analysis 615 0$aGeometric analysis 676 $a516 702 $aAlbin$b Pierre$f1976- 702 $aJakobson$b Dmitry$f1970- 702 $aRochon$b Fre?de?ric$f1978- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480531703321 996 $aGeometric and spectral analysis$92100056 997 $aUNINA