000 02151nam a22003618a 4500
001 CR9780511662324
003 UkCbUP
005 20160624102258.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 091215s1991||||enk s ||1 0|eng|d
020 _a9780511662324 (ebook)
020 _z9780521424448 (paperback)
040 _aUkCbUP
_cUkCbUP
_erda
100 1 _aFigá-Talamanca, Alessandro,
_eauthor.
245 1 0 _aHarmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees /
_cAlessandro Figá-Talamanca, Claudio Nebbia.
246 3 _aHarmonic Analysis & Representation Theory for Groups Acting on Homogenous Trees
260 1 _aCambridge :
_bCambridge University Press,
_c1991.
264 1 _aCambridge :
_bCambridge University Press,
_c1991.
300 _a1 online resource (164 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aLondon Mathematical Society Lecture Note Series ;
_vno. 162
500 _aTitle from publisher's bibliographic system (viewed on 16 Oct 2015).
520 _aThese notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'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.
700 1 _aNebbia, Claudio,
_eauthor.
776 0 8 _iPrint version:
_z9780521424448
786 _dCambridge
830 0 _aLondon Mathematical Society Lecture Note Series ;
_vno. 162.
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9780511662324
942 _2EBK12066
_cEBK
999 _c41360
_d41360