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20222026
most citedPseudo-Differential Equations with Weak Degeneration for Radial Functions of -adic Argument

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math.AP2026

A Pseudo-Differential Operator of the -Adic Multiplicative Calculus

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

We introduce and study a pseudo-differential operator , defined via the -adic Mellin transformation, acting on real- or complex-valued functions on the multiplicative group…