LEADER 04577nam 2200577 450 001 9910820221603321 005 20220819054212.0 010 $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(RPAM)18173370 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 $aContemporary mathematics,$x1098-3627 ;$v613$x0271-4132$x0271-4132 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 $aCover -- 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... 410 0$aContemporary mathematics,$pCentre de recherches mathe?matiques proceedings ;$v613$x0271-4132$x0271-4132 606 $aSpectrum analysis$vCongresses 606 $aGeometric analysis$vCongresses 615 0$aSpectrum analysis 615 0$aGeometric analysis 676 $a516 686 $a58J05$a58J40$a58J50$a58J52$a53C55$a60D05$a49R05$a46E35$a53A30$a35Q41$2msc 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 $a9910820221603321 996 $aGeometric and spectral analysis$94097410 997 $aUNINA