Cyclic vectors in the Fock space over the complex plane

Izuchi, Kou

doi:10.1090/S0002-9939-05-07938-4

Cyclic vectors in the Fock space over the complex plane
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Proc. Amer. Math. Soc. 133 (2005), 3627-3630 Request permission

Abstract:

In this paper, we characterize the cyclic vectors in the Fock space over the complex plane. We prove that a function $f(z)$ is cyclic in the Fock space if and only if $f(z)$ is a nonvanishing function in $L^2_a(\mathbb {C})$.

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