Coherent states, wavelets and their generalizations [electronic resource] / Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau.
2014
QC6.4.C65
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Title
Coherent states, wavelets and their generalizations [electronic resource] / Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau.
Edition
Second edition.
ISBN
9781461485353 electronic book
1461485355 electronic book
9781461485346
1461485355 electronic book
9781461485346
Published
New York : Springer, 2014.
Language
English
Description
1 online resource (xviii, 577 pages)
Item Number
10.1007/978-1-4614-8535-3 doi
Call Number
QC6.4.C65
Dewey Decimal Classification
530.12/4
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 the theories of wavelets and coherent states can both be subsumed into a single mathematical structure. 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 one to dispense with the group context altogether. Within the group context, wavelets are coherent states of the affine group of the real line, and higher-dimensional wavelets are coherent states of other groups.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on print version record.
Series
Graduate texts in contemporary physics.
Available in Other Form
Coherent states, wavelets and their generalizations
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