Induced Representations of Locally Compact Groups (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2012

052176226X / 9780521762267

Series: Book 22 of 46 - Cambridge Tracts in Mathematics

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Hardcover. 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. Locally compact groups and their representation theory underlie areas such as relativity, quantum field theory, signal processing and medical imaging. All who are interested in the foundations of such subjects, as well as pure mathematicians working in harmonic analysis, will appreciate this comprehensive monograph. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. …

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Title
Induced Representations of Locally Compact Groups (Hardcover)
Author
Eberhard Kaniuth
Publisher
Cambridge University Press, Cambridge
Publication year
2012
Condition
new
Binding
Hardcover
Language
English
ISBN 10
052176226X
ISBN 13
9780521762267
Series
Book 22 of 46: Cambridge Tracts in Mathematics

CitiRetail

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