F 2 ( C N ) = { f : : C N → → C ∣ ∣ ‖ ‖ f ‖ ‖ F 2 ( C N ) < ∞ ∞ } , where ‖ ‖ f ‖ ‖ F 2 ( C N ) := ∫ ∫ C N | f ( z ) | 2 e − − π π | z | 2 d z . Then defining a space B ∞ ∞ as the nested union of the spaces B N over the integers N ≥ ≥ 0 , Segal and Bargmann showed that B ∞ ∞ is isomorphic to a bosonic Fock space. The monomial x 1 n 1 . . . x k n k corresponds to the Fock state | n 0 , n 1 , … … , n k ⟩ ⟩ ν ν = | ψ ψ 0 ⟩ ⟩ n 0 | ψ ψ 1 ⟩ ⟩ n 1 ⋯ ⋯ | ψ ψ k ⟩ ⟩ n k .