Abstract
We introduce a Boson Fock space A(B d )of anti-holomorphic complex-valued functions on the unit ball B d in ℂd. A unitary isomorphism U from the abstract Boson Fock space ΓH to A(B d ) is produced, and it is shown that U transforms twisted coherent vectors into Bergman reproducing kernels in B d .
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Rask, O. (2003). Boson Fock Algebra on the Unit Ball of the d-Dimensional Complex Numbers. In: Rebolledo, R. (eds) Stochastic Analysis and Mathematical Physics II. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8018-3_10
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DOI: https://doi.org/10.1007/978-3-0348-8018-3_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9405-0
Online ISBN: 978-3-0348-8018-3
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