Arising of Bergman reproducing kernel in Bose-Fock space

• Rask, Olé ^[1]
  1. [1] Universidad Austral de Chile

     Universidad Austral de Chile

     Valdivia, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 17, Nº. 2, 1998, págs. 215-226
• Idioma: inglés
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• Resumen

  • We introduce a Bose-Fock space A (Dd) of anti-holomorphic complex-valued functions on the unit polydisc Dd in Cd, with d ∊ NU {ꚙ}.A unitary isomorphism U from the abstract Bose-Fock space ꞄH to A ( Dd) is produced, and it is shown that U transforms twisted coherent vectors into Bergman kernels in Dd.