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Article Dans Une Revue European Journal of Pure and Applied Mathematics Année : 2014

Spectrum of periodically correlated fields

Résumé

The paper deals with Hilbert space valued fields over any locally compact Abelian group G, in particular over G = Z^n × R^m, which are periodically correlated (PC) with respect to a closed subgroup of G. PC fields can be regarded as multi-parameter extensions of PC processes. We study structure, covariance function, and an analogue of the spectrum for such fields. As an example a weakly PC field over Z^2 is thoroughly examined.
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Dates et versions

hal-00842839 , version 1 (09-07-2013)

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Dominique Dehay, Harry L. Hurd, Andrzej Makagon. Spectrum of periodically correlated fields. European Journal of Pure and Applied Mathematics, 2014, 7 (3), pp.343-368. ⟨hal-00842839⟩
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