A Pseudo-Differential Operator of the $p$-Adic Multiplicative Calculus

Alexandra V. Antoniouk, Anatoly N. Kochubei, Mariia V. Serdiuk

We introduce and study a pseudo-differential operator $W^{\hat{I}}\pm$, defined via the $p$-adic Mellin transformation, acting on real- or complex-valued functions on the multiplicative grou…