Processos estacionaris indexats per un grup localment compacte i abeliá

Gómez , Lupe ^[1]
1. [1] Universitat de Barcelona
  
  Universitat de Barcelona
  
  Barcelona, España
Localización: Publicacions matematiques, ISSN 0214-1493, Nº 22, 1980, págs. 143-146
Idioma: catalán
DOI: 10.5565/publmat_22180_28
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Resumen
- In this paper we study the stationary stochastic processes on discrete locally compact abelian groups. We obtiain necessary and sufficient conditions for the regularity and singularity of a process with respect to the complement of finite subsets of the group, by using the integrability of the spectral density. To find these results, stronger than those obtained by L. Bruckner, we use a generalization of the method set up by Yu. A. Rozanov for the case Zn.