Umbral Calculus in Positive Characteristic
Number Theory
2007-05-23 v1 Combinatorics
Abstract
An umbral calculus over local fields of positive characteristic is developed on the basis of a relation of binomial type satisfied by the Carlitz polynomials. Orthonormal bases in the space of continuous -linear functions are constructed.
Cite
@article{arxiv.math/0405543,
title = {Umbral Calculus in Positive Characteristic},
author = {Anatoly N. Kochubei},
journal= {arXiv preprint arXiv:math/0405543},
year = {2007}
}
Comments
18 pages, LaTeX-2e