A family of series representations of the multiparameter fractional Brownian motion

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167688We derive a family of series representations of the multiparameter fractional Brownian motion in the centred ball of radius $R$ in the $N$-dimensional space $\mathbb{R}^N$. Some known examples of series representations are shown to be the members of the family under consideration.18 pages, typos correctedProbability60G60A family of series representations of the multiparameter fractional Brownian motiontext