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  1. Home
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  3. Induced Representations of Locally Compact Groups
  • Cited by 11
Publisher:
Cambridge University Press
Online publication date:
December 2012
Print publication year:
2012
Online ISBN:
9781139045391
DOI:
https://doi.org/10.1017/CBO9781139045391
Subjects:
Mathematics (general), Mathematics, Abstract Analysis, Algebra
Series:
Cambridge Tracts in Mathematics (197)
Information

Book 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.

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Contents

Contents
References
Bibliography
Bibliography
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