| Induced Representations of Locally Compact Groups Contributor(s): Kaniuth, Eberhard (Author), Taylor, Keith F. (Author) |
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ISBN: 052176226X ISBN-13: 9780521762267 Publisher: Cambridge University Press OUR PRICE: $115.90 Product Type: Hardcover - Other Formats Published: January 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Group Theory |
| Dewey: 512.25 |
| LCCN: 2012027124 |
| Series: Cambridge Tracts in Mathematics (Hardcover) |
| Physical Information: 1.1" H x 6.1" W x 9.1" (1.41 lbs) 355 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
Contributor Bio(s): Kaniuth, Eberhard: - Eberhard Kaniuth is Professor Emeritus at the University of Paderborn, Germany.Taylor, Keith F.: - Keith F. Taylor is Associate Vice-President Academic and a Professor in the Department of Mathematics and Statistics at Dalhousie University, Nova Scotia. |