@article {STMAZ.06099209,
    author       = {Berschneider, Georg},
    title        = {Spectral representation of intrinsically stationary fields.},
    year         = {2012},
    journal      = {Stochastic Processes and their Applications},
    volume       = {122},
    number       = {12},
    issn         = {0304-4149},
    pages        = {3837-3851},
    publisher    = {Elsevier Science Publishers B.V. (North-Holland), Amsterdam},
    doi          = {10.1016/j.spa.2012.07.005},
    abstract     = {Summary: Transferring the concept of processes with weakly stationary increments to arbitrary locally compact Abelian groups two closely related notions arise: while intrinsically stationary random fields can be seen as a direct analog of intrinsic random functions of order k applied by G. Matheron in geostatistics, stationarizable random fields arise as a natural analog of definitizable functions in harmonic analysis. We concentrate on intrinsically stationary random fields related to finite-dimensional, translation-invariant function spaces, establish an orthogonal decomposition of random fields of this type, and present spectral representations for intrinsically stationary as well as stationarizable random fields using orthogonal vector measures.},
    msc2010      = {60G10 (42A82 62M15 86A32)},
    identifier   = {06099209},
}