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＜電子ブック＞
Induced Representations of Locally Compact Groups / Eberhard Kaniuth, Keith F. Taylor
(Cambridge Tracts in Mathematics ; 197)

出版者	Cambridge : Cambridge University Press
出版年	2012
大きさ	1 online resource (355 pages) : digital, PDF file(s)
著者標目	*Kaniuth, Eberhard author Taylor, Keith F. author
件　名	LCSH:Locally compact groups LCSH:Topological spaces LCSH:Representations of groups
一般注記	Title from publisher's bibliographic system (viewed on 11 Nov 2016) The 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 HTTP:URL=http://dx.doi.org/10.1017/CBO9781139045391

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