Asymptotic properties of the $p$-adic fractional integration operator

Authors

  • A. N. Kochubei Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine
  • D. S. Soskin Faculty of Mathematics and Mechanics, Taras Shevchenko Kyiv National University, 64 Volodymyrs’ka, Kyiv, 01033, Ukraine

DOI:

Keywords:

$p$-Adic numbers, Vladimirov's $p$-adic fractional differentiation operator, $p$-adic fractional integration operator, asymptotic expansion

Abstract

We study asymptotic properties of the $p$-adic version of a fractional integration operator introduced in the paper by A. N. Kochubei, Radial solutions of non-Archimedean pseudo-differential equations, Pacif. J. Math. 269 (2014), 355-369.

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Published

2017-06-25

Issue

Vol. 23 No. 2 (2017)

Section

Articles

How to Cite

Kochubei, A. N., and D. S. Soskin. “Asymptotic Properties of the $p$-Adic Fractional Integration Operator”. Methods of Functional Analysis and Topology, vol. 23, no. 2, June 2017, pp. 155-63, https://zen.imath.kiev.ua/index.php/mfat/article/view/660.