Geometric and spectral analysis / Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors.

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Bibliographic Details
Other Authors: Albin, Pierre, 1976- (Editor), Jakobson, Dmitry, 1970- (Editor), Rochon, Frédéric, 1978- (Editor)
Format: eBook
Language:English
Published: Providence, Rhode Island ; Montréal, Québec : American Mathematical Society : Centre de Recherches Mathematiques, 2014.
Series:Contemporary mathematics (American Mathematical Society). Centre de recherches mathématiques proceedings ; 613.
Subjects:
Online Access:Click for online access

MARC

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245 0 0 |a Geometric and spectral analysis /  |c Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors. 
264 1 |a Providence, Rhode Island ;  |a Montréal, Québec :  |b American Mathematical Society :  |b Centre de Recherches Mathematiques,  |c 2014. 
264 4 |c ©2014 
300 |a 1 online resource (378 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Contemporary Mathematics. Centre de Recherches Mathématiques Proceedings,  |x 1098-3627 ;  |v 613 
500 |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 
504 |a Includes bibliographical references at the end of each chapters. 
588 0 |a Print version record. 
505 0 |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 
505 8 |a ""2. Proofs of the main results""""3. Further remarks on tunneling and outlook""; ""References""; ""Simple Spectrum and Rayleigh Quotients""; ""1. Introduction""; ""2. The Conformal class""; ""3. The KÃ?hler class""; ""Acknowledgments""; ""References""; ""Smooth and Singular KÃ?hlerâ€?Einstein Metrics""; ""1. Introduction""; ""2. The \KE equation""; ""3. \K edge geometry""; ""4. Existence and non-existence""; ""5. Energy functionals""; ""6. The Ricci continuity method""; ""7. A priori estimates for Mongeâ€?AmpÃ?re equations""; ""8. The asymptotically logarithmic world"" 
505 8 |a 9. The logarithmic Calabi problemAcknowledgements -- 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 
505 8 |a 3. The edge algebra4. 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 
505 8 |a 3. Ambient Metric and Conformal Powers of the Laplacian4. 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 
650 0 |a Spectrum analysis  |v Congresses. 
650 0 |a Geometric analysis  |v Congresses. 
650 7 |a Geometric analysis  |2 fast 
650 7 |a Spectrum analysis  |2 fast 
650 7 |a Global analysis, analysis on manifolds  |x Partial differential equations on manifolds; differential operators  |x Elliptic equations on manifolds, general theory.  |2 msc 
650 7 |a Global analysis, analysis on manifolds  |x Partial differential equations on manifolds; differential operators  |x Pseudodifferential and Fourier integral operators on manifolds.  |2 msc 
650 7 |a Global analysis, analysis on manifolds  |x Partial differential equations on manifolds; differential operators  |x Spectral problems; spectral geometry; scattering theory.  |2 msc 
650 7 |a Global analysis, analysis on manifolds  |x Partial differential equations on manifolds; differential operators  |x Determinants and determinant bundles, analytic torsion.  |2 msc 
650 7 |a Probability theory and stochastic processes  |x Geometric probability and stochastic geometry  |x Geometric probability and stochastic geometry.  |2 msc 
650 7 |a Calculus of variations and optimal control; optimization  |x Variational methods for eigenvalues of operators  |x Variational methods for eigenvalues of operators.  |2 msc 
650 7 |a Functional analysis  |x Linear function spaces and their duals  |x Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems.  |2 msc 
650 7 |a Differential geometry  |x Classical differential geometry  |x Conformal differential geometry.  |2 msc 
655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Albin, Pierre,  |d 1976-  |e editor. 
700 1 |a Jakobson, Dmitry,  |d 1970-  |e editor. 
700 1 |a Rochon, Frédéric,  |d 1978-  |e editor. 
776 0 8 |i Print version:  |t Geometric and spectral analysis.  |d Providence, Rhode Island ; Montréal, Québec : American Mathematical Society : Centre de Recherches Mathematiques, ©2014  |h x, 366 pages  |k Contemporary mathematics (American Mathematical Society). Centre de recherches mathématiques proceedings ; 613  |x 1098-3627  |z 9781470410438 
830 0 |a Contemporary mathematics (American Mathematical Society).  |p Centre de recherches mathématiques proceedings ;  |v 613. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3114306  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD