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Geometric and spectral analysis : centre de recherches mathematiques proceedings / [edited by] Pierre Albin, Dmitry Jakobson and Frederic Rochon.

By: CRM workshops on Geometry of Eigenvalues and Eigenfunctions (4-8 Jun 2012: Canada).
Contributor(s): Albin, Pierre [editor] | Jakobson, Dmitry [editor] | Rochon, Frederic [editor] | Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis (2-6 Jul 2012: Canada) | Spectral Invariants on Non-compact and Singular Spaces (23-27 Jul 2012: Canada).
Material type: TextTextSeries: Contemporary mathematics ; 630.Publisher: Providence : American Mathematicl Society, c2014Description: x, 366 p. : illustrations ; 26 cm.ISBN: 9781470410438 (pbk. : alk. paper).Subject(s): Spectrum analysis -- Congresses | Geometric analysis -- CongressesDDC classification: 510
Contents:
A new froof a Bismut-Zhang formula for class of representations-- Tunneling, the quillen metric and analytic torsion for high powers-- Simple spectrum and rayleigh quotients-- Smooth and singular Kahler-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 fumctions 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.
Summary: This volume contains original contributions as well as useful survey articles of recent developments by participants from three of the workshops organized during these programs: Geometry of Eigenvalues and Eigenfunctions, held from June 4-8, 2012; Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, held from July 2-6, 2012; and Spectral Invariants on Non-compact and Singular Spaces, held from July 23-27, 2012. The topics covered in this volume include Fourier integral operators, eigenfunctions, probability and analysis on singular spaces, complex geometry, Kahler-Einstein metrics, analytic torsion, and Strichartz estimates.
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Includes bibliographical references.

A new froof a Bismut-Zhang formula for class of representations--
Tunneling, the quillen metric and analytic torsion for high powers--
Simple spectrum and rayleigh quotients--
Smooth and singular Kahler-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 fumctions 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.

This volume contains original contributions as well as useful survey articles of recent developments by participants from three of the workshops organized during these programs: Geometry of Eigenvalues and Eigenfunctions, held from June 4-8, 2012; Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, held from July 2-6, 2012; and Spectral Invariants on Non-compact and Singular Spaces, held from July 23-27, 2012. The topics covered in this volume include Fourier integral operators, eigenfunctions, probability and analysis on singular spaces, complex geometry, Kahler-Einstein metrics, analytic torsion, and Strichartz estimates.

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