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Teor. Veroyatnost. i Primenen., 1962, Volume 7, Issue 2, Pages 220–222 (Mi tvp4718)  

Short Communications

A propos de filtrage des processus stationnaires

R. F. Matveev

Moscow

Abstract: Soit $x(t)=\int_{-\infty}^\infty{e^{it\lambda}}dZ(\lambda)$ est le processus stationnaire, dont la densité spectral $f(\lambda)={|{B(\lambda)}|^2}/{|{A(\lambda )}|^2};B(\lambda), A(\lambda)$ – sont deux polynomes. Nous étudions les propriétés des espaces $H^{\Delta r}(t)$, out les $\Delta r(t)$ sont les transformations de Fourier de ${\Delta z(\lambda )}/{\varphi (\lambda)},\varphi (\lambda)=B(\lambda){\overline {D(\lambda )}}/{A(\lambda)} D(\lambda),D(\lambda)$ etants le polynomes arbitraires dont tous les zeros sont situés dans le domaine $\operatorname{Im}\lambda>0$.

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English version:
Theory of Probability and its Applications, 1962, 7:7, 211–213

Received: 24.08.1960

Citation: R. F. Matveev, “A propos de filtrage des processus stationnaires”, Teor. Veroyatnost. i Primenen., 7:2 (1962), 220–222; Theory Probab. Appl., 7:7 (1962), 211–213

Citation in format AMSBIB
\Bibitem{Mat62}
\by R.~F.~Matveev
\paper A propos de filtrage des processus stationnaires
\jour Teor. Veroyatnost. i Primenen.
\yr 1962
\vol 7
\issue 2
\pages 220--222
\mathnet{http://mi.mathnet.ru/tvp4718}
\transl
\jour Theory Probab. Appl.
\yr 1962
\vol 7
\issue 7
\pages 211--213
\crossref{https://doi.org/10.1137/1107022}


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