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Spherical functions and local limit theorems on free groups

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Sunto

Sia Fr il gruppo libero con r generatori. In questo lavoro viene studiato l'andamento asintotico della successione delle potenze di convoluzione di una misura di probabilitá radiale su Fr, in relazione alla teoria delle funzioni sferiche. Si ottengono inoltre stime simili nell'ambito della teoria delle rappresentazioni unitarie irriducibili del gruppo libero.

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Work partially supported by Italian National Research Council — Gruppo GNAFA.

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Picardello, M.A. Spherical functions and local limit theorems on free groups. Annali di Matematica pura ed applicata 133, 177–191 (1983). https://doi.org/10.1007/BF01766017

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Keywords

  • Free Group
  • Limit Theorem
  • Spherical Function
  • Local Limit
  • Local Limit Theorem