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Let $X_{mn}$ be a second-order stationary random field on Z². Let ℳ(L) be the linear span of $X_{mn}:m\le 0,n\in Z$, and ℳ(RN) the linear span of $X_{mn}:m\ge N,n\in Z$. Spectral criteria are given for the condition $li{m}_{N\to \infty }{c}_N=0$, where $c_N$ is the cosine of the angle between ℳ(L) and $ℳ\left(R_N\right)$.

Rosenblatt showed that a stationary Gaussian random field is strongly mixing if it has a positive, continuous spectral density. In this article, spectral criteria are given for the rate of strong mixing in such a field.

This paper is selective survey on the space lAp and its multipliers. It also includes some connections of multipliers to Birkhoff-James orthogonality