Dernière sortie
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees
These notes treat in full detail the theory of representations of the group of automorphims of a homogeneous tree. The unitary irreductible representaitons are classified in three types : a continuous series of cuspidal representations as defined by G.I OI'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups.
This will be an excellent companion for all researchers into harmonic analysis or representation theory.
This will be an excellent companion for all researchers into harmonic analysis or representation theory.
These notes treat in full detail the theory of representations of the group of automorphims of a homogeneous tree. The unitary irreductible representaitons are classified in three types : a continuous series of cuspidal representations as defined by G.I OI'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups.
This will be an excellent companion for all researchers into harmonic analysis or representation theory.
This will be an excellent companion for all researchers into harmonic analysis or representation theory.
