02629cam a2200289 i 4500008004100000020001800041040000800059050002200067100003100089245016100120260005200281300001100333490004300344505021800387505001700605518001500622520132100637650003601958650003201994650003102026650004102057700003702098900001402135942001302149999001902162952015802181120904s2013    enk      b    001 0 eng    a9780521762267  aSDU00aQA387bK16 I 20131 aKaniuth, Eberhard.919250510aInduced representations of locally compact groups /cEberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia.  aCambridge : bCambridge University Press,c2013  a343 p.0 aCambridge tracts in mathematics ;v1978 aMachine generated contents note: 1. Basics; 2. Induced representations; 3. The imprimitivity theorem; 4. Mackey analysis; 5. Topologies on dual spaces; 6. Topological Frobenius properties; 7. Further applications.8 aHKBU library  aYT2025 M10  a"Locally compact groups arise in many diverse areas of mathematics, the physical sciences, and engineering and the presence of the group is usually felt through unitary representations of the group. This observation underlies the importance of understanding such representations and how they may be constructed, combined, or decomposed. Of particular importance are the irreducible unitary representations. In the middle of the last century, G.W. Mackey initiated a program to develop a systematic method for identifying all the irreducible unitary representations of a given locally compact group G. We denote the set of all unitary equivalence classes of irreducible unitary representations of G by G. Mackey's methods are only effective when G has certain restrictive structural characteristics; nevertheless, time has shown that many of the groups that arise in important problems are appropriate for Mackey's approach. The program Mackey initiated received contributions from many researchers with some of the most substantial advances made by R.J. Blattner and J.M.G. Fell. Fell'swork is particularly important in studying Gas a topological space. At the core of this program is the inducing construction, which is a method of building a unitary representation of a group from a representation of a subgroup"-- 0aLocally compact groups.9192506 0aTopological spaces.9192507 0aRepresentations of groups. 7aMATHEMATICS / Mathematical Analysis.1 aTaylor, Keith F.,d1950-9192510  a= C.1 SDU  cGBE2lcc  c103754d103754  00102lcc406QA0387 K16 I2013708CGB9284340aSDUbSDUcGEN3d2025-10-09e2l0oQA387 K16 I 2013p1000385165r2025-10-09 00:00:00tC.1w2025-10-09yGBE