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Geometric and spectral analysis / [electronic resource] Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors.

Contributor(s): Albin, Pierre, 1976- | Jakobson, Dmitry, 1970- | Rochon, Fr�ed�eric, 1978-.

Material type: materialTypeLabel

BookSeries: Contemporary mathematics, v. 630.Publisher: Providence, Rhode Island : Montreal, Quebec, Canada : American Mathematical Society ; Centre de Recherches Mathematiques, 2014Description: 1 online resource (p. cm.).Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470420598 (online).Subject(s): Spectrum analysis -- Congresses | Geometric analysis -- Congresses | Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Elliptic equations on manifolds, general theory | Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Pseudodifferential and Fourier integral operators on manifolds | Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Spectral problems; spectral geometry; scattering theory | Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Determinants and determinant bundles, analytic torsion | Probability theory and stochastic processes -- Geometric probability and stochastic geometry -- Geometric probability and stochastic geometry | Calculus of variations and optimal control; optimization -- Variational methods for eigenvalues of operators -- Variational methods for eigenvalues of operators | Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems | Differential geometry -- Classical differential geometry -- Conformal differential geometryAdditional physical formats: Geometric and spectral analysis /DDC classification: 516 Other classification: 58J05 | 58J40 | 58J50 | 58J52 | 53C55 | 60D05 | 49R05 | 46E35 | 53A30 | 35Q41 Online resources: Contents | Contents

Contents:

A New Proof of a Bismut-Zhang Formula for Some Class of Representations / Maxim Braverman and Boris Vertman -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12662 Tunneling, the Quillen Metric and Analytic Torsion for High Powers of a Holomorphic Line Bundle / Robert J. Berman -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12663 Simple Spectrum and Rayleigh Quotients / Victor Guillemin, Eveline Legendre and Rosa Sena-Dias -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12664 Smooth and Singular K�ahler-Einstein Metrics / Yanir A. Rubinstein -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12665 Complex $b$-Manifolds / Gerardo A. Mendoza -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12666 Iterative Structures on Singular Manifolds / Bert-Wolfgang Schulze -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12667 The Fundamental Gap and One-Dimensional Collapse / Zhiqin Lu and Julie Rowlett -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12668 The Logarithmic Singularities of the Green Functions of the Conformal Powers of the Laplacian / Rapha�el Ponge -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12669 A Symbolic Calculus for Fourier Integral Operators / Yuri Safarov -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12670 Strichartz Estimates on Exterior Polygonal Domains / Dean Baskin, Jeremy L. Marzuola and Jared Wunsch -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12671 Probabilistic Sobolev Embeddings, Applications to Eigenfunctions Estimates / Nicolas Burq and Gilles Lebeau -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12672 Random Smooth Functions on Compact Riemannian Manifolds / Liviu I. Nicolaescu -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12673 On the Exponential Decay of Laplacian Eigenfunctions in Planar Domains with Branches / Binh T. Nguyen, Denis S. Grebenkov and Andrey L. Delytsin -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12674 Bounds on the Principal Frequency of the $p$-Laplacian / Guillaume Poliquin -- http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12675

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"Centre de Recherches Mathematiques Proceedings."

"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."

Includes bibliographical references.

A New Proof of a Bismut-Zhang Formula for Some Class of Representations / Maxim Braverman and Boris Vertman -- Tunneling, the Quillen Metric and Analytic Torsion for High Powers of a Holomorphic Line Bundle / Robert J. Berman -- Simple Spectrum and Rayleigh Quotients / Victor Guillemin, Eveline Legendre and Rosa Sena-Dias -- Smooth and Singular K�ahler-Einstein Metrics / Yanir A. Rubinstein -- Complex $b$-Manifolds / Gerardo A. Mendoza -- Iterative Structures on Singular Manifolds / Bert-Wolfgang Schulze -- The Fundamental Gap and One-Dimensional Collapse / Zhiqin Lu and Julie Rowlett -- The Logarithmic Singularities of the Green Functions of the Conformal Powers of the Laplacian / Rapha�el Ponge -- A Symbolic Calculus for Fourier Integral Operators / Yuri Safarov -- Strichartz Estimates on Exterior Polygonal Domains / Dean Baskin, Jeremy L. Marzuola and Jared Wunsch -- Probabilistic Sobolev Embeddings, Applications to Eigenfunctions Estimates / Nicolas Burq and Gilles Lebeau -- Random Smooth Functions on Compact Riemannian Manifolds / Liviu I. Nicolaescu -- On the Exponential Decay of Laplacian Eigenfunctions in Planar Domains with Branches / Binh T. Nguyen, Denis S. Grebenkov and Andrey L. Delytsin -- Bounds on the Principal Frequency of the $p$-Laplacian / Guillaume Poliquin --

http://www.ams.org/conm/630/

http://dx.doi.org/10.1090/conm/630/12662

http://www.ams.org/conm/630/

http://dx.doi.org/10.1090/conm/630/12663

http://www.ams.org/conm/630/

http://dx.doi.org/10.1090/conm/630/12664

http://www.ams.org/conm/630/

http://dx.doi.org/10.1090/conm/630/12665

http://www.ams.org/conm/630/

http://dx.doi.org/10.1090/conm/630/12666

http://www.ams.org/conm/630/

http://dx.doi.org/10.1090/conm/630/12667