Umbral Calculus in Positive Characteristic

Details Umbral Calculus in Positive Characteristic Umbral Calculus in Positive Characteristic

2004-05-28

arxiv.org/abs/math/0405543v1

Mathematics

Number Theory

18 pages, LaTeX-2e

Scientific paper

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 $\mathbb F_q$-linear
functions are constructed.

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