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Coherent States, Wavelets and Their Generalizations /

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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 standar...

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Bibliographic Details
Main Author: Ali, S. Twareque (Syed Twareque)
Corporate Author: SpringerLink (Online service)
Other Authors: Antoine, Jean Pierre, Gazeau, Jean-Pierre
Format: eBook
Language:English
Published: New York, NY : Springer New York, 2000.
Series:Graduate texts in contemporary physics.
Subjects:
Physics.
Topological groups.
Quantum theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Introduction
  • 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
  • Wavelets
  • Discrete Wavelet Transforms
  • Multidimensional Wavelets
  • Wavelets Related to Other G Groups
  • The Discretiaztion Problem: Frames Sampling, and all that
  • Conclusion.