zero mean limit process, ( Q$_{m}$, ψ ) = Σ$_{v}$ Q$_{ψψ}$$_{v}$ ( U$_{x}$, U$_{xy}$ ) . We need to verify that the bilinear covariance functional cov (( Q$_{m}$, ψ$_{1}$ ) , ( Q$_{m}$, ψ$_{2}$ )) is well-defined (bounded) for any ψ$_{1}$, ψ$_{2}$. Since expectation of Q$_{m}$ is zero Thus it is sufficient to consider variances for some ψ. The representation in (28) involves three terms, it is sufficient to show that the variance of the sum of each type of term over all v is bounded. Recall that here cov ( U$_{z}$$_{1}$, U$_{z}$$_{2}$ ) = F (˜ z ) − F ( z$_{1}$ ) F ( z$_{2}$ ) , where ˜ z = z$_{1}$ ∧ z$_{2}$. Evaluate Start with the first term in (28) and consider its variance . 41 | cov (( Q$_{m}$, ψ$_{1}$ ) , ( Q$_{m}$, ψ$_{2}$ )) | ≤ [ E ( Q$_{m}$, ψ$_{1}$ ) $^{2}$E ( Q$_{m}$, ψ$_{2}$ ) 2 ] 1 2 , E ( Q$_{m}$, ψ ) 2 = E ( Σ$_{v}$ Q$_{ψψ}$$_{v}$ ( U$_{x}$, U$_{xy}$ ) ) $^{2}$.