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Resolution of the identity of the classical Hardy space by means of Barut-Girardello coherent states

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Publication:454487
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DOI10.5402/2012/530473zbMath1250.30052OpenAlexW2000233620WikidataQ58691161 ScholiaQ58691161MaRDI QIDQ454487

Zouhaïr Mouayn

Publication date: 8 October 2012

Published in: ISRN Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/530473


zbMATH Keywords

Hardy spaceBergman spaceintegral transform


Mathematics Subject Classification ID

Coherent states (81R30) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)


Related Items

Uncertainty inequality on weighted Hardy spaces ⋮ Uncertainty inequalities for weighted spaces of analytic functions on the unit disk



Cites Work

  • The action option and a Feynman quantization of spinor fields in terms of ordinary \(C\)-numbers
  • The continuous wavelet transform and symmetric spaces
  • Irreversibility in quantum mechanics
  • New 'coherent' states associated with non-compact groups
  • Theory of Reproducing Kernels
  • Some Notes on Multiple-Boson Processes
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