000 | 03075nam a2200397Ii 4500 | ||
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001 | ocn817953676 | ||
003 | OCoLC | ||
005 | 20240726105311.0 | ||
008 | 121114s2013 nyu ob 001 0 eng d | ||
040 |
_aNT _beng _erda _cNT |
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020 |
_a9781139839723 _q((electronic)l(electronic)ctronic)l((electronic)l(electronic)ctronic)ctronic bk. |
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050 | 0 | 4 |
_aQA387 _b.I538 2013 |
049 | _aNTA | ||
100 | 1 |
_aKaniuth, Eberhard. _e1 |
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245 | 1 | 0 | _aInduced representations of locally compact groupsEberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia. |
260 |
_aNew York : _bCambridge University Press, _c(c)2013. |
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300 | _a1 online resource. | ||
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_adata file _2rda |
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490 | 1 |
_aCambridge tracts in mathematics ; _v197 |
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520 | 0 |
_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"-- _cProvided by publisher. |
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504 | _a2 | ||
505 | 0 | 0 | _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. |
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_a2 _ub |
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650 | 0 | _aLocally compact groups. | |
650 | 0 | _aTopological spaces. | |
650 | 0 | _aRepresentations of groups. | |
655 | 1 | _aElectronic Books. | |
700 | 1 |
_aTaylor, Keith F., _d1950- |
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856 | 4 | 0 |
_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=498339&site=eds-live&custid=s3260518 _zClick to access digital title | log in using your CIU ID number and my.ciu.edu password |
942 |
_cOB _D _eEB _hQA _m2013 _QOL _R _x _8NFIC _2LOC |
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994 |
_a02 _bNT |
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_c95728 _d95728 |
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_a1 _bCynthia Snell _c1 _dCynthia Snell |