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The Resource Coherent States, Wavelets, and Their Generalizations, by Syed Twareque Ali, JeanPierre Antoine, JeanPierre Gazeau, (electronic resource)
Coherent States, Wavelets, and Their Generalizations, by Syed Twareque Ali, JeanPierre Antoine, JeanPierre Gazeau, (electronic resource)
Resource Information
The item Coherent States, Wavelets, and Their Generalizations, by Syed Twareque Ali, JeanPierre Antoine, JeanPierre Gazeau, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Coherent States, Wavelets, and Their Generalizations, by Syed Twareque Ali, JeanPierre Antoine, JeanPierre Gazeau, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This second edition is fully updated, covering in particular new types of coherent states (the socalled GazeauKlauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take a classicallike view of quantum states in physics. 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. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higherdimensional wavelets arise from coherent states of other groups. The unified background makes transparent an entire range of properties of wavelets and coherent states. Many concrete examples, such as coherent states from semisimple Lie groups, GazeauKlauder coherent states, coherent states for the relativity groups, and several kinds of wavelets, are discussed in detail. The book concludes with a palette of potential applications, from the quantum physically oriented, like the quantumclassical transition or the construction of adequate states in quantum information, to the most innovative techniques to be used in data processing. Intended as an introduction to current research for graduate students and others entering the field, the mathematical discussion is selfcontained. With its extensive references to the research literature, the first edition of the book is already a proven compendium for physicists and mathematicians active in the field, and with full coverage of the latest theory and results the revised second edition is even more valuable
 Language

 eng
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (586 p.)
 Note
 Description based upon print version of record
 Contents

 Canonical Coherent States
 Positive OperatorValued Measures and Frames
 Some Group Theory
 Hilbert Spaces
 Square Integrable and Holomorphic Kernels
 Covariant Coherent States
 Coherent States from Square Integrable Representations
 Some Examples and Generalizations
 CS of General Semidirect Product Groups
 CS of Product Groups
 CS Quantizations and Probabilistic Aspects
 Direct Wavelet Transforms
 Multidimensional Wavelets
 Wavelets Related to Other G Groups
 The Discretization Problem  Frames Sampling and All That
 Isbn
 9781461485353
 Label
 Coherent States, Wavelets, and Their Generalizations
 Title
 Coherent States, Wavelets, and Their Generalizations
 Statement of responsibility
 by Syed Twareque Ali, JeanPierre Antoine, JeanPierre Gazeau
 Language

 eng
 eng
 Summary
 This second edition is fully updated, covering in particular new types of coherent states (the socalled GazeauKlauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take a classicallike view of quantum states in physics. 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. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higherdimensional wavelets arise from coherent states of other groups. The unified background makes transparent an entire range of properties of wavelets and coherent states. Many concrete examples, such as coherent states from semisimple Lie groups, GazeauKlauder coherent states, coherent states for the relativity groups, and several kinds of wavelets, are discussed in detail. The book concludes with a palette of potential applications, from the quantum physically oriented, like the quantumclassical transition or the construction of adequate states in quantum information, to the most innovative techniques to be used in data processing. Intended as an introduction to current research for graduate students and others entering the field, the mathematical discussion is selfcontained. With its extensive references to the research literature, the first edition of the book is already a proven compendium for physicists and mathematicians active in the field, and with full coverage of the latest theory and results the revised second edition is even more valuable
 http://library.link/vocab/creatorName
 Ali, Syed Twareque
 Dewey number
 530.12
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 d6sVGv7DTbs
 xlk27L0982o
 6ooTyUXcobU
 Language note
 English
 LC call number
 QC173.96174.52
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Antoine, JeanPierre.
 Gazeau, JeanPierre.
 Series statement
 Theoretical and Mathematical Physics,
 http://library.link/vocab/subjectName

 Quantum physics
 Group theory
 Quantum computers
 Spintronics
 Quantum Physics
 Group Theory and Generalizations
 Quantum Information Technology, Spintronics
 Label
 Coherent States, Wavelets, and Their Generalizations, by Syed Twareque Ali, JeanPierre Antoine, JeanPierre Gazeau, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Canonical Coherent States  Positive OperatorValued Measures and Frames  Some Group Theory  Hilbert Spaces  Square Integrable and Holomorphic Kernels  Covariant Coherent States  Coherent States from Square Integrable Representations  Some Examples and Generalizations  CS of General Semidirect Product Groups  CS of Product Groups  CS Quantizations and Probabilistic Aspects  Direct Wavelet Transforms  Multidimensional Wavelets  Wavelets Related to Other G Groups  The Discretization Problem  Frames Sampling and All That
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (586 p.)
 Form of item
 online
 Isbn
 9781461485353
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461485353
 Specific material designation
 remote
 System control number

 (CKB)3710000000057103
 (EBL)1592895
 (OCoLC)880589395
 (SSID)ssj0001049399
 (PQKBManifestationID)11661880
 (PQKBTitleCode)TC0001049399
 (PQKBWorkID)11019081
 (PQKB)11398566
 (MiAaPQ)EBC1592895
 (DEHe213)9781461485353
 (EXLCZ)993710000000057103
 Label
 Coherent States, Wavelets, and Their Generalizations, by Syed Twareque Ali, JeanPierre Antoine, JeanPierre Gazeau, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Canonical Coherent States  Positive OperatorValued Measures and Frames  Some Group Theory  Hilbert Spaces  Square Integrable and Holomorphic Kernels  Covariant Coherent States  Coherent States from Square Integrable Representations  Some Examples and Generalizations  CS of General Semidirect Product Groups  CS of Product Groups  CS Quantizations and Probabilistic Aspects  Direct Wavelet Transforms  Multidimensional Wavelets  Wavelets Related to Other G Groups  The Discretization Problem  Frames Sampling and All That
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (586 p.)
 Form of item
 online
 Isbn
 9781461485353
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461485353
 Specific material designation
 remote
 System control number

 (CKB)3710000000057103
 (EBL)1592895
 (OCoLC)880589395
 (SSID)ssj0001049399
 (PQKBManifestationID)11661880
 (PQKBTitleCode)TC0001049399
 (PQKBWorkID)11019081
 (PQKB)11398566
 (MiAaPQ)EBC1592895
 (DEHe213)9781461485353
 (EXLCZ)993710000000057103
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Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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