Items related to Induced Representations of Locally Compact Groups:...

Induced Representations of Locally Compact Groups: 197 (Cambridge Tracts in Mathematics, Series Number 197) - Hardcover

Book 22 of 46: Cambridge Tracts in Mathematics

Kaniuth, Eberhard; Taylor, Keith F.

 
9780521762267: Induced Representations of Locally Compact Groups: 197 (Cambridge Tracts in Mathematics, Series Number 197)
Hardcover
ISBN 10: 052176226X ISBN 13: 9780521762267
Publisher: Cambridge University Press, 2012

Synopsis

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.

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About the Authors

Eberhard 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.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2012
Language
English
ISBN 10 
052176226X
ISBN 13 
9780521762267
Binding
Hardcover
Number of pages
355