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ocn908072019 |
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20241006213017.0 |
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150416t20142014riua ob 000 0 eng d |
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|a E7B
|b eng
|e rda
|e pn
|c E7B
|d EBLCP
|d OCLCO
|d OCLCF
|d OCLCO
|d DEBSZ
|d OCLCQ
|d OCLCO
|d OCLCQ
|d K6U
|d OCLCO
|d OCLCQ
|d LEAUB
|d OCLCO
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019 |
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|a 922981895
|a 1086527042
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|a 9781470420598
|q (e-book)
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|a 1470420597
|q (e-book)
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|z 9781470410438
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035 |
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|a (OCoLC)908072019
|z (OCoLC)922981895
|z (OCoLC)1086527042
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050 |
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4 |
|a QC20.7.S64
|b .G466 2014eb
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049 |
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|a HCDD
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245 |
0 |
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|a Geometric and spectral analysis /
|c Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors.
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264 |
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1 |
|a Providence, Rhode Island ;
|a Montréal, Québec :
|b American Mathematical Society :
|b Centre de Recherches Mathematiques,
|c 2014.
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264 |
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4 |
|c ©2014
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300 |
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|a 1 online resource (378 pages) :
|b illustrations
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336 |
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|a text
|b txt
|2 rdacontent
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337 |
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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490 |
1 |
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|a Contemporary Mathematics. Centre de Recherches Mathématiques Proceedings,
|x 1098-3627 ;
|v 613
|
500 |
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|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
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504 |
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|a Includes bibliographical references at the end of each chapters.
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588 |
0 |
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|a Print version record.
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505 |
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|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
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505 |
8 |
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|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 K�hler class""; ""Acknowledgments""; ""References""; ""Smooth and Singular K�hler�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 Monge�Amp�re equations""; ""8. The asymptotically logarithmic world""
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505 |
8 |
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|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
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505 |
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|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
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505 |
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|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
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650 |
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0 |
|a Spectrum analysis
|v Congresses.
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650 |
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0 |
|a Geometric analysis
|v Congresses.
|
650 |
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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 |
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|a Albin, Pierre,
|d 1976-
|e editor.
|
700 |
1 |
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|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 |
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|a EBC-AC
|
994 |
|
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|a 92
|b HCD
|