Coherent States, Wavelets, and Their Generalizations

The book concludes with a palette of potential applications, from the quantum physically oriented, like the quantum-classical 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 cu...

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Bibliographic Details
Main Authors: Ali, Syed Twareque, Antoine, Jean-Pierre (Author), Gazeau, Jean-Pierre (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2014, 2014
Edition:2nd ed. 2014
Series:Theoretical and Mathematical Physics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Canonical Coherent States
  • Positive Operator-Valued 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