000			02216nam a22003858i 4500
001			CR9780511662324
003			UkCbUP
005			20200124160232.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			091215s1991||||enk o ||1 0|eng|d
020			_a9780511662324 (ebook)
020			_z9780521424448 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050		4	_aQA166.2 _b.F43 1991
082	0	4	_a515.2433 _220
100	1		_aFigà-Talamanca, Alessandro, _d1938- _eauthor.
245	1	0	_aHarmonic analysis and representation theory for groups acting on homogeneous trees / _cAlessandro Figà-Talamanca and Claudio Nebbia.
246	3		_aHarmonic Analysis & Representation Theory for Groups Acting on Homogenous Trees
264		1	_aCambridge : _bCambridge University Press, _c1991.
300			_a1 online resource (ix, 151 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v162
500			_aTitle from publisher's bibliographic system (viewed on 05 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.
650		0	_aAutomorphisms.
650		0	_aHarmonic analysis.
650		0	_aRepresentations of groups.
700	1		_aNebbia, Claudio, _eauthor.
776	0	8	_iPrint version: _z9780521424448
830		0	_aLondon Mathematical Society lecture note series ; _v162.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511662324
999			_c517749 _d517747