Geometric and spectral analysis / [electronic resource]
Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors.
- 1 online resource (p. cm.)
- Contemporary mathematics, v. 630 0271-4132 (print); 1098-3627 (online); .
"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 / Tunneling, the Quillen Metric and Analytic Torsion for High Powers of a Holomorphic Line Bundle / Simple Spectrum and Rayleigh Quotients / Smooth and Singular K�ahler-Einstein Metrics / Complex $b$-Manifolds / Iterative Structures on Singular Manifolds / The Fundamental Gap and One-Dimensional Collapse / The Logarithmic Singularities of the Green Functions of the Conformal Powers of the Laplacian / A Symbolic Calculus for Fourier Integral Operators / Strichartz Estimates on Exterior Polygonal Domains / Probabilistic Sobolev Embeddings, Applications to Eigenfunctions Estimates / Random Smooth Functions on Compact Riemannian Manifolds / On the Exponential Decay of Laplacian Eigenfunctions in Planar Domains with Branches / Bounds on the Principal Frequency of the $p$-Laplacian / Maxim Braverman and Boris Vertman -- Robert J. Berman -- Victor Guillemin, Eveline Legendre and Rosa Sena-Dias -- Yanir A. Rubinstein -- Gerardo A. Mendoza -- Bert-Wolfgang Schulze -- Zhiqin Lu and Julie Rowlett -- Rapha�el Ponge -- Yuri Safarov -- Dean Baskin, Jeremy L. Marzuola and Jared Wunsch -- Nicolas Burq and Gilles Lebeau -- Liviu I. Nicolaescu -- Binh T. Nguyen, Denis S. Grebenkov and Andrey L. Delytsin -- 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 http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12668 http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12669 http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12670 http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12671 http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12672 http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12673 http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12674 http://www.ams.org/conm/630/ http://dx.doi.org/10.1090/conm/630/12675
Access is restricted to licensed institutions
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2014
Mode of access : World Wide Web
9781470420598 (online)
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 geometry.