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By Alessandro Figá-Talamanca,Claudio Nebbia

those notes deal with in complete element the idea of representations of the gang of automorphisms of a homogeneous tree. The unitary irreducible representations are categorised in 3 forms: a continual sequence of round representations; specified representations; and a countable sequence of cuspidal representations as outlined by means of G.I. Ol'shiankii. numerous amazing subgroups of the entire automorphism workforce also are thought of. the idea of round capabilities as eigenvalues of a Laplace (or Hecke) operator at the tree is used to introduce round representations and their regulations to discrete subgroups. this can be a good better half for all researchers into harmonic research or illustration theory.

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