| 000 | 02237cam a2200277 i 4500 | ||
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| 999 |
_c3031 _d3031 |
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| 003 | OSt | ||
| 005 | 20201105111401.0 | ||
| 008 | 120904s2013 enk b 001 0 eng | ||
| 020 | _a9780521762267 | ||
| 040 | _c | ||
| 082 | 0 | 0 |
_a512.25 _223 _bKAN / B |
| 100 | 1 |
_aKaniuth, Eberhard. _eAuthor |
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| 245 | 1 | 0 | _aInduced representations of locally compact groups |
| 260 |
_aCambridge : _bCambridge University Press, _c©2013. |
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| 300 |
_axiii, 343 p. ; _c23.5 cm (Hardbound) |
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| 490 |
_aCambridge tracts in mathematics ; _v197 |
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| 504 | _aIncludes bibliographical references and index. | ||
| 520 | _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"-- | ||
| 653 | _aLocally compact groups | ||
| 653 | _aRepresentations of groups | ||
| 653 | _aTopological spaces | ||
| 653 | _aMathematical analysis | ||
| 700 | 1 |
_aTaylor, Keith F. _eAuthor |
|
| 856 |
_3Table of contents _uhttps://assets.cambridge.org/97805217/62267/toc/9780521762267_toc.pdf |
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| 942 |
_2ddc _cBK |
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