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Authors: ARNALDO DE LA BARRERA, OSMIN FERRER, JOSÉ SANABRIA.
DOI: 10.24193/subbmath.2022.4.13
Published Online: 2022-12-02
Published Print: 2022-12-30
pp. 841-854
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We define and investigate a class of positive definite kernel so called equivalent-kernel. We formulate and prove an analogous of Paley-Wiener theorem in the context of positive definite kernel. The main ingredient in the proof is Kolmogorov decomposition. Finally, some applications to stochastic processes are given.
Mathematics Subject Classification (2010): 42A82, 60G10.
Keywords: Positive definite kernels, multivariate stochastic processes, Toepliz kernel, Kolgomorov decomposition.
