000			02564nam a22003858i 4500
001			CR9781139045391
003			UkCbUP
005			20200124160235.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110303s2013||||enk o ||1 0|eng|d
020			_a9781139045391 (ebook)
020			_z9780521762267 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA387 _b.K356 2013
082	0	0	_a512/.25 _223
100	1		_aKaniuth, Eberhard, _eauthor.
245	1	0	_aInduced representations of locally compact groups / _cEberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia.
264		1	_aCambridge : _bCambridge University Press, _c2013.
300			_a1 online resource (xiii, 343 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v197
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aBasics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications.
520			_aThe dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a wide variety of examples. Fell's contributions to understanding the natural topology on the dual are also presented. In the final two chapters, the theory is applied in a variety of settings including topological Frobenius properties and continuous wavelet transforms. This book will be useful to graduate students seeking to enter the area as well as experts who need the theory of unitary group representations in their research.
650		0	_aLocally compact groups.
650		0	_aTopological spaces.
650		0	_aRepresentations of groups.
700	1		_aTaylor, Keith F., _d1950- _eauthor.
776	0	8	_iPrint version: _z9780521762267
830		0	_aCambridge tracts in mathematics ; _v197.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139045391
999			_c518031 _d518029