5 citations · 5 across the 3 of their papers we have counts for
3 papers
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…
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 -adic variables. It is proved that the correspondent Cauchy problem has a unique solution…
Pseudo-Differential Equations with Weak Degeneration for Radial Functions of -adic Argument
Alexandra V. Antoniouk, Anatoly N. Kochubei, Mariia V. Serdiuk
In earlier papers (A. N. Kochubei, Pacif. J. Math., 269 (2014), 355-369; J. Math. Anal. Appl.483 (2020), Article 123609), one of the authors developed a theory of pseudo-differenti…