Induced Representations of Locally Compact Groups

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Algebra
Cover of the book Induced Representations of Locally Compact Groups by Eberhard Kaniuth, Keith F. Taylor, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Eberhard Kaniuth, Keith F. Taylor ISBN: 9781139853552
Publisher: Cambridge University Press Publication: November 22, 2012
Imprint: Cambridge University Press Language: English
Author: Eberhard Kaniuth, Keith F. Taylor
ISBN: 9781139853552
Publisher: Cambridge University Press
Publication: November 22, 2012
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Herodotus: Histories Book V by Eberhard Kaniuth, Keith F. Taylor
Cover of the book Two Roads Diverge by Eberhard Kaniuth, Keith F. Taylor
Cover of the book The Cambridge Companion to Ted Hughes by Eberhard Kaniuth, Keith F. Taylor
Cover of the book Breast Cancer by Eberhard Kaniuth, Keith F. Taylor
Cover of the book Stefan Wolpe and the Avant-Garde Diaspora by Eberhard Kaniuth, Keith F. Taylor
Cover of the book The Cambridge Companion to Asian American Literature by Eberhard Kaniuth, Keith F. Taylor
Cover of the book Regulating Speech in Cyberspace by Eberhard Kaniuth, Keith F. Taylor
Cover of the book Kernel Methods for Pattern Analysis by Eberhard Kaniuth, Keith F. Taylor
Cover of the book The Victorian Palace of Science by Eberhard Kaniuth, Keith F. Taylor
Cover of the book The Cambridge Companion to Hobbes's Leviathan by Eberhard Kaniuth, Keith F. Taylor
Cover of the book Street Citizens by Eberhard Kaniuth, Keith F. Taylor
Cover of the book The Cambridge Companion to George Eliot by Eberhard Kaniuth, Keith F. Taylor
Cover of the book The Cambridge Companion to Bacon by Eberhard Kaniuth, Keith F. Taylor
Cover of the book Roman Political Thought by Eberhard Kaniuth, Keith F. Taylor
Cover of the book The Economics of Europe and the European Union by Eberhard Kaniuth, Keith F. Taylor
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy