Home  /  Proyecciones  /  Vol: 17 Núm: 2 Par: 0 (1998)  /  Article
ARTICLE
TITLE

Arising of Bergman reproducing kernel in Bose-Fock space

SUMMARY

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

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