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the Taylor coefficients of f. The map L : H2(D) →l² (N) defined by L(f) = (a_0, a_1,a_2 . . .) is a linear inner product preserving isomorphism and hence we see that H² (D) can be identified with the Hilbert space, l² (N), where N= {0, 1, 2, . . .} the natural numbers with 0, and hence is itself a