Naj bo ▫$B$▫ kompleksna algebra z elementom 1 in z involucijo ▫$x \to x^\ast$▫, generirana s simetričnima elementoma ▫$p$▫, ▫$q$▫, ki ustrezata relaciji ▫$pq - qp = -i$▫. Naj bo ▫$f(x)$▫ pozitiven ...funkcional na tej algebri. Dani so zadostni pogoji, da lahko izrazimo ▫$f(x)$▫ v obliki ▫$f(x) = \sum_{k=1}^{n} \int_{-\infty}^{\infty} X \psi_k(q) \overline{\psi}_k(q)} \; dq$▫. Tu so ▫$\psi_k(q)$▫, ▫$k = 1,2,...,n \le \infty$▫ funkcije iz razreda ▫$C^{\infty}(-\infty, \infty)$▫, ▫$X$▫ pa je diferencialni operator, ki ga dobimo, če v elementu ▫$x \in B$▫ zamenjamo ▫$p$▫ ▫$-i\frac{d}{dq}$▫.
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