Concentration of Symmetric Eigenfunctions

Azagra, Daniel and Macia Lang, Fabricio (2010). Concentration of Symmetric Eigenfunctions. "Nonlinear Analysis: Theory, Methods & Applications", v. 73 (n. 3); pp. 683-688. ISSN 0362-546X. https://doi.org/10.1016/j.na.2010.03.056.

Description

Title: Concentration of Symmetric Eigenfunctions
Author/s:
  • Azagra, Daniel
  • Macia Lang, Fabricio
Item Type: Article
Título de Revista/Publicación: Nonlinear Analysis: Theory, Methods & Applications
Date: August 2010
ISSN: 0362-546X
Volume: 73
Subjects:
Freetext Keywords: Eigenfunctions of the Laplacian; Semiclassical measures; Wigner distributions; Manifolds of constant sectional curvature; Invariant measures
Faculty: E.T.S.I. Navales (UPM)
Department: Enseñanzas Básicas de la Ingeniería Naval [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this article we examine the concentration and oscillation effects developed by high-frequency eigenfunctions of the Laplace operator in a compact Riemannian manifold. More precisely, we are interested in the structure of the possible invariant semiclassical measures obtained as limits of Wigner measures corresponding to eigenfunctions. These measures describe simultaneously the concentration and oscillation effects developed by a sequence of eigenfunctions. We present some results showing how to obtain invariant semiclassical measures from eigenfunctions with prescribed symmetries. As an application of these results, we give a simple proof of the fact that in a manifold of constant positive sectional curvature, every measure which is invariant by the geodesic flow is an invariant semiclassical measure

More information

Item ID: 6841
DC Identifier: http://oa.upm.es/6841/
OAI Identifier: oai:oa.upm.es:6841
DOI: 10.1016/j.na.2010.03.056
Official URL: http://www.elsevier.com/locate/na
Deposited by: Memoria Investigacion
Deposited on: 06 May 2011 08:44
Last Modified: 20 Apr 2016 15:59
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