Abstract
Some type of Baxter sums for generalized random Gaussian fields are introduced in this work. Sufficient conditions of such a sum convergence to a non-random constant are obtained. As the examples, the behavior of Baxter sums for a class of generalized fields with independent values and for a field of fractional Brownian motion is considered.
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Krasnitskiy, S., Kurchenko, O. (2018). On Baxter Type Theorems for Generalized Random Gaussian Fields. In: Silvestrov, S., Malyarenko, A., Rančić, M. (eds) Stochastic Processes and Applications. SPAS 2017. Springer Proceedings in Mathematics & Statistics, vol 271. Springer, Cham. https://doi.org/10.1007/978-3-030-02825-1_4
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