Description

Book Synopsis

This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder 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.).



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.

Coherent States Wavelets and Their Generalizations Theoretical and Mathematical Physics

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    A Hardback by Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

    15 in stock


      View other formats and editions of Coherent States Wavelets and Their Generalizations Theoretical and Mathematical Physics by Syed Twareque Ali

      Publisher: Springer New York
      Publication Date: 10/30/2013 12:00:00 AM
      ISBN13: 9781461485346, 978-1461485346
      ISBN10: 1461485347
      Also in:
      Mathematics Groups and group theory Condensed matter physics Materials science

      Description

      Book Synopsis

      This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder 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.).



      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.

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