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OverviewThe 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. Full Product DetailsAuthor: Eberhard Kaniuth (Universität Paderborn, Germany) , Keith F. Taylor (Dalhousie University, Nova Scotia)Publisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) Volume: 197 ISBN: 9781139045391ISBN 10: 1139045393 Publication Date: 05 December 2012 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of Contents1. Basics; 2. Induced representations; 3. The imprimitivity theorem; 4. Mackey analysis; 5. Topologies on dual spaces; 6. Topological Frobenius properties; 7. Further applications; References; Index.Reviews'... [a] nicely written book ...' Zentralblatt MATH '… [a] nicely written book …' Zentralblatt MATH Author InformationEberhard Kaniuth is Professor Emeritus at the University of Paderborn, Germany. Keith F. Taylor is Associate Vice-President Academic and a Professor in the Department of Mathematics and Statistics at Dalhousie University, Nova Scotia. Tab Content 6Author Website:Countries AvailableAll regions |
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