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Item Details
Title: COHERENT STATES, WAVELETS, AND THEIR GENERALIZATIONS
A MATHEMATICAL OVERVIEW
By: Syed T. Ali, J-P. Antoine, J.-P. Gazeau
Format: Hardback

List price: £162.00


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 0387989080
ISBN 13: 9780387989082
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 1 January, 2000
Edition: 2000 ed.
Series: Graduate Texts in Contemporary Physics
Pages: 431
Description: Wavelets have become an important analytical tool in signal processing and other applications. This book presents a unified survey of the theories of coherent states, wavelets, and some of their generalizations, emphasizing mathematical structures. It is useful as an introduction to research for graduate students and others entering the field.
Synopsis: A survey of the theory of coherent states, wavelets, and some of their generalizations, emphasizing mathematical structures. Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space; a further step allows the group context to be dispensed with altogether. The unified background makes transparent otherwise obscure properties of wavelets and of coherent states. Many concrete examples, such as semisimple Lie groups, the relativity group, and several kinds of wavelets, are discussed in detail. The book concludes with physical applications, centering on the quantum measurement problem and the quantum-classical transition. Intended as an introduction to current research for graduate students and others entering the field, the mathematical discussion is self- contained. With its extensive references to the research literature, the book will also be a useful compendium of recent results for physicists and mathematicians already active in the field.
Illustrations: 1 black & white tables
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Non-returnable
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