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Asymptotic Properties of the p-Adic Fractional Integration Operator

Number Theory 2017-03-08 v2 Mathematical Physics Classical Analysis and ODEs math.MP

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.

Keywords

Cite

@article{arxiv.1702.03434,
  title  = {Asymptotic Properties of the p-Adic Fractional Integration Operator},
  author = {Anatoly N. Kochubei and Daniel S. Soskin},
  journal= {arXiv preprint arXiv:1702.03434},
  year   = {2017}
}

Comments

Version 2: minor corrections. To appear in "Methods of Functional Analysis and Topology"