Geodesic
Stationary local additive functionals on Gaussian random fields
Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 3, pp. 489-503

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We continue the investigations of the paper [1] and describe explicitly the stationary local additive functionals on Gaussian random fields $\zeta=\{\zeta(\varphi),\,\varphi\in\mathfrak Y(R^\nu)\}$ in terms of their representation by means of multiple stochastic Wiener–Ito integrals. 
@article{TVP_1983_28_3_a4,
     author = {R. L. Dobru\v{s}in and M. Ya. Kelbert},
     title = {Stationary local additive functionals on {Gaussian} random fields},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {489--503},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_3_a4/}
}
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R. L. Dobrušin; M. Ya. Kelbert. Stationary local additive functionals on Gaussian random fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 3, pp. 489-503. http://geodesic.mathdoc.fr/item/TVP_1983_28_3_a4/