M. Serdiuk

activity

20222026

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

p

-adic Argument

5 citations · 5 across the 3 of their papers we have counts for

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math.AP2026

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 $W^{α}$ , defined via the $p$ -adic Mellin transformation, acting on real- or complex-valued functions on the multiplicative group…

math.AP2024

Fundamental Solution for a New Class of Non-Archimedean Pseudo-Differential Equations

Anatoly N. Kochubei, Mariia V. Serdiuk

In this paper we study a new class of pseudo-differential equations on functions of two $p$ -adic variables. It is proved that the correspondent Cauchy problem has a unique solution…

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

Fundamental Solution for a New Class of Non-Archimedean Pseudo-Differential Equations

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