Spherical functions and rapid decay for hyperbolic groups

27 Dec 2018 Boyer Adrien

We investigate properties of some spherical fonctions defined on hyperbolic groups using boundary representations on the Gromov boundary endowed with the Patterson-Sullivan measure class. We prove sharp decay estimates for spherical functions as well as spectral inequalities associated with boundary representations... (read more)

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Categories


  • GROUP THEORY
  • OPERATOR ALGEBRAS
  • REPRESENTATION THEORY