Geodesic
Spectral analysis of multivariate stationary random functions on some massive groups
Teoriâ slučajnyh processov, Tome 13 (2007) no. 4, pp. 177-182

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The spectral representations for wide sense stationary multivariate random functions and for their covariance functions on two classes of additive vector groups are obtained under some assumptions about continuity of such functions. The first class is nuclear topological groups and the second class is additive group of real vector space equipped with the finite topology.
Keywords: Stationary random functions in Hilbert space, nuclear group, real vector space, spectral representation. 
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     author = {Oleksander Ponomarenko and Yuriy Perun},
     title = {Spectral analysis of multivariate stationary random functions on some massive groups},
     journal = {Teori\^a slu\v{c}ajnyh processov},
     pages = {177--182},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2007_13_4_a11/}
}
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Oleksander Ponomarenko; Yuriy Perun. Spectral analysis of multivariate stationary random functions on some massive groups. Teoriâ slučajnyh processov, Tome 13 (2007) no. 4, pp. 177-182. http://geodesic.mathdoc.fr/item/THSP_2007_13_4_a11/