Olé Rask
Abstract
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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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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.
Key concepts: Fock space, Bergman space, Bergman kernel, Space (punctuation), Fock state, Holomorphic function, Unitary state, Isomorphism (crystallography)