We consider a pseudodifferential operator defined as follows: Hαφ = ℱ−1[(〈ξ〉α − prα)ℱφ], where 〈ξ〉α = (max{|ξ|p, pr})α, and study the Markov process associated with this operator. We also analyze the first passage time problem associated with Hα for r < 0.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 7, pp. 902–912, July, 2021. Ukrainian DOI: 10.37863/umzh.v73i7.464.
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Casas-Sánchez, O.F., Galeano-Peñaloza, J. & Rodríguez-Vega, J.J. p-Adic Markov Process and the Problem of First Return Over Balls. Ukr Math J 73, 1050–1062 (2021). https://doi.org/10.1007/s11253-021-01976-1
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DOI: https://doi.org/10.1007/s11253-021-01976-1