Hilbert Spaces with Reproducing Kernels and Coherent States

  • Syed Twareque Ali
  • Jean-Pierre Antoine
  • Jean-Pierre Gazeau
Part of the Theoretical and Mathematical Physics book series (TMP)


This chapter is again purely mathematical. The central theme is the concept of reproducing kernel Hilbert spaces and the attending measure problems, which are then used as a tool for constructing CS.


Hilbert Space Measurable Field Orthonormal Basis Coherent State Positive Operator 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Syed Twareque Ali
    • 1
  • Jean-Pierre Antoine
    • 2
  • Jean-Pierre Gazeau
    • 3
    • 4
  1. 1.Department of Mathematics and StatisticsConcordia UniversityMontréalCanada
  2. 2.Institut de Recherche en Mathématique et Physique (IRMP)Université Catholique de LouvainLouvain-la-NeuveBelgium
  3. 3.Astroparticules et Cosmologie (APC, UMR 7164)Université Paris DiderotSorbonne Paris Cité ParisFrance
  4. 4.Centro Brasileiro de Pesquisas Fisicas (CBPF)Rio de JaneiroBrasil

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