Umbral Calculus in Positive Characteristic

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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.
18 pages, LaTeX-2e

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Number Theory, Combinatorics, 05A40; 11G09; 11S80; 46S10

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http://salesiana.dossiersoluciones.com/handle/123456789/71360

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405543
 http://arxiv.org/abs/math/0405543

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arXiv