LEADER 03417nam 22006972 450 001 9910453032903321 005 20151005020622.0 010 $a1-107-23320-8 010 $a1-139-04539-3 010 $a1-139-85355-4 010 $a1-139-84559-4 010 $a1-139-84446-6 010 $a1-139-83972-1 010 $a1-139-84210-2 010 $a1-283-74656-5 010 $a1-139-84091-6 035 $a(CKB)2550000000708506 035 $a(EBL)1057465 035 $a(OCoLC)818882941 035 $a(SSID)ssj0000756022 035 $a(PQKBManifestationID)11438063 035 $a(PQKBTitleCode)TC0000756022 035 $a(PQKBWorkID)10731407 035 $a(PQKB)10368570 035 $a(UkCbUP)CR9781139045391 035 $a(MiAaPQ)EBC1057465 035 $a(Au-PeEL)EBL1057465 035 $a(CaPaEBR)ebr10621697 035 $a(CaONFJC)MIL405906 035 $a(EXLCZ)992550000000708506 100 $a20110303d2013|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInduced representations of locally compact groups /$fEberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2013. 215 $a1 online resource (xiii, 343 pages) $cdigital, PDF file(s) 225 1 $aCambridge tracts in mathematics ;$v197 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-76226-X 320 $aIncludes bibliographical references and index. 327 $aBasics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications. 330 $aThe dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a wide variety of examples. Fell's contributions to understanding the natural topology on the dual are also presented. In the final two chapters, the theory is applied in a variety of settings including topological Frobenius properties and continuous wavelet transforms. This book will be useful to graduate students seeking to enter the area as well as experts who need the theory of unitary group representations in their research. 410 0$aCambridge tracts in mathematics ;$v197. 606 $aLocally compact groups 606 $aTopological spaces 606 $aRepresentations of groups 615 0$aLocally compact groups. 615 0$aTopological spaces. 615 0$aRepresentations of groups. 676 $a512/.25 700 $aKaniuth$b Eberhard$0504660 702 $aTaylor$b Keith F.$f1950- 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910453032903321 996 $aInduced representations of locally compact groups$92471258 997 $aUNINA