$p$-Adic Markov process and the problem of the first return over balls
Анотація
UDC 511.225, 519.217, 511.225.1, 303.532
$p$ -адичнi марковськi процеси та задача першого повернення для куль
Розглядається псевдодиференціальний оператор $H^{\alpha}\varphi = \mathcal{F}^{-1}[(\langle \xi\rangle^{\alpha} - p^{r\alpha})\mathcal{F}_{\varphi}],$ де $ \langle \xi \rangle= (\max\{|\xi|_{p}, p^r\})^{\alpha}$ та вивчається пов'язаний із цим оператором марковський процес.
Також вивчається задача часу першого проходу для $H^{\alpha}$ при $r<0.$
Посилання
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