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Harnack Inequality, Martin’s Method and The Positive Spectrum for Random Walks

  • Yves Guivarc’h
  • Lizhen Ji
  • J. C. Taylor
Part of the Progress in Mathematics book series (PM, volume 156)

Abstract

The study of positive eigenfunctions of the Laplace operator L is closely related to the study of convolution equations defined by probability measures p. With applications to other non-semisimple Lie groups in mind, several results for general convolution equations on a locally compact metrizable group H are established in this chapter.

Keywords

Spectral Radius Convex Cone Haar Measure Radon Measure Weak Topology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1998

Authors and Affiliations

  • Yves Guivarc’h
    • 1
  • Lizhen Ji
    • 2
  • J. C. Taylor
    • 3
  1. 1.IRMAR UFR MathématiquesUniversité de Rennes-IRennesFrance
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA
  3. 3.Department of Mathematics and StatisticsMcGill UniversityQuebecCanada

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