2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76439We give necessary and sufficient conditions for a multivariate stationary stochastic process to be completely regular. We also give the answer to a question of V.V. Peller concerning the spectral measure characterization of such processes.ProbabilityCompletely regular multivariate stationary process and the Muckenhoupt conditiontext