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.
Full Text
Article Information
| Title | Asymptotic properties of the $p$-adic fractional integration operator |
| Source | Methods Funct. Anal. Topology, Vol. 23 (2017), no. 2, 155-163 |
| MathSciNet |
MR3668811 |
| zbMATH |
06810674 |
| 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},
MRNUMBER = {MR3668811},
ZBLNUMBER = {06810674},
URL = {http://mfat.imath.kiev.ua/article/?id=969},
}
