Resumen de On Positive Definite Kernels, Related Problems and Applications

Ramón Bruzual, A. de la Barrera, Marisela Domínguez

• We give a representation result for regular positive definite Toeplitz kernels and, as a corollary, we obtain a representation result for equivalent kernels. We obtain a stability result which is used to show that, under certain conditions, a special perturbation of a positive definite Toeplitz kernel is equivalent to the perturbed kernel. Some applications to stochastic processes are given.