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120904s2013 enk ob 001 0 eng |
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|z 9780521762267
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|a 9781139045391 (online)
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|a 9781139839723 (online)
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|a 9781283746564 (online)
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|a (EBZ)ebs1600213e
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|a DLC
|b eng
|d EBZ
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|a pcc
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050 |
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|a QA387
|b .K356 2013
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100 |
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|a Kaniuth, Eberhard.
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245 |
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|a Induced representations of locally compact groups
|h [electronic resource] /
|c Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia.
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264 |
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|a Cambridge :
|b Cambridge University Press,
|c 2013.
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490 |
0 |
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|a Cambridge tracts in mathematics ;
|v 197
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504 |
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|a Includes bibliographical references (pages 333-339) and index.
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505 |
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|a Machine 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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|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"--
|c Provided by publisher.
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650 |
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|a Locally compact groups.
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650 |
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|a Topological spaces.
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650 |
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|a Representations of groups.
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700 |
1 |
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|a Taylor, Keith F.,
|d 1950-
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773 |
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|t ProQuest Ebook Central - Academic Complete
|d ProQuest Info & Learning Co
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773 |
0 |
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|t EBSCO eBooks
|d EBSCO
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773 |
0 |
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|t eBook Academic Collection (EBSCOhost) – North America
|d EBSCO
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776 |
1 |
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|t Induced representations of locally compact groups /
|w (DLC)2012027124
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856 |
4 |
0 |
|y Access Content Online(from ProQuest Ebook Central - Academic Complete)
|u https://ezproxy.msu.edu/login?url=https://ebookcentral.proquest.com/lib/michstate-ebooks/detail.action?docID=1057465
|z ProQuest Ebook Central - Academic Complete: 2012
|
856 |
4 |
0 |
|y Access Content Online(from EBSCO eBooks)
|u https://ezproxy.msu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=498339
|z EBSCO eBooks: 2013
|
856 |
4 |
0 |
|y Access Content Online(from eBook Academic Collection (EBSCOhost) – North America)
|u https://ezproxy.msu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=498339
|z eBook Academic Collection (EBSCOhost) – North America: 2013
|