A noncommutative extension of Mahler's theorem on interpolation series

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Pin, JE (Author) Other; Pedro V. Silva (Author) FCUP

Journal

Title: European Journal of Combinatorics

Vol. 36

Pages: 564-578

ISSN: 0195-6698

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 11 Citations

Scopus - 12 Citations

Other information

Authenticus ID: P-008-FP6

DOI: 10.1016/j.ejc.2013.09.009

Abstract (EN): In this paper, we prove an extension of Mahler's theorem on interpolation series, a celebrated result of p-adic analysis. Mahler's original result states that a function from N to Z is uniformly continuous for the p-adic metric d(p) if and only if it can be uniformly approximated by polynomial functions. We prove the same result for functions from a free monoid A* to Z. where d(p) is replaced by the pro-p metric, the profinite metric on A* defined by p-groups.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15