On regularization of Mellin PDO's with slowly oscillating symbols of limited smoothness

Alexei Yu. Karlovich, Yuri I. Karlovich, Amarino B. Lebre

We study Mellin pseudodifferential operators (shortly, Mellin PDO's) with symbols in the algebra $\tilde{\mathcal{E}}({\mathbb{R}}_{+},V(\mathbb{R}))$ of slowly oscillating functio…