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Coherent States, Wavelets and Their Generalizations






Publisher:  Springer
Summary: This book presents a survey of the theory of coherent states, wavelets, and some of their generalizations, emphasizing mathematical structures. The point of view is that both the theories of both wavelets and coherent states can be subsumed into a single analytic structure. Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to grou...p representations that are square integrable over a homogeneous space; a further step allows one to dispense with the group context altogether. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higher-dimensional wavelets arise from coherent states of other groups. 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.

Ali, Syed T. is the author of Coherent States, Wavelets and Their Generalizations, published under ISBN 9780387989082 and 0387989080. Three hundred eighty seven Coherent States, Wavelets and Their Generalizations textbooks are available for sale on ValoreBooks.com, one hundred two used from the cheapest price of $96.00, or buy new starting at $166.12.
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Coherent States, Wavelets and Their Generalizations

ISBN-13: 9780387989082

ISBN: 0387989080

Publisher: Springer
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