Open Access

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

### 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.

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

### Article Information

 Title Asymptotic properties of the $p$-adic fractional integration operator Source Methods Funct. Anal. Topology, Vol. 23 (2017), no. 2, 155-163 Milestones Received 11/02/2017 Copyright The Author(s) 2017 (CC BY-SA)

### Authors Information

Anatoly N. Kochubei
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine

Daniel S. Soskin
Faculty of Mathematics and Mechanics, Taras Shevchenko Kyiv National University, 64 Volodymyrs’ka, Kyiv, 01033, Ukraine

### Citation Example

Anatoly N. Kochubei and Daniel S. Soskin, Asymptotic properties of the $p$-adic fractional integration operator, Methods Funct. Anal. Topology 23 (2017), no. 2, 155-163.

### BibTex

@article {MFAT969,
AUTHOR = {Anatoly N. Kochubei and Daniel S. Soskin},
TITLE = {Asymptotic properties of the $p$-adic fractional integration operator},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {23},
YEAR = {2017},
NUMBER = {2},
PAGES = {155-163},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=969},
}

Coming Soon.