Title :
Some elementary properties of ultrametric analytic functions
Author_Institution :
Dept. of Math., Rikkyo Univ., Tokyo, Japan
Abstract :
This short note have three intensions. One is to give a unified proof of Hensel´s Lemma for ultremetric analytic functions and the classical Weierstrass Preperation Theorem. The second is to deduce some elementary properties from Hensel´s Lemma and norm properties. The third is to extend some of these results to functions of several variables.
Keywords :
function evaluation; Hensels Lemma; classical Weierstrass preparation theorem; elementary properties; ultrametric analytic functions; ultremetric analytic functions; Calculus; Convergence; Indexes; Polynomials; Presses; Hensel´s Lemma; Weierstrass Preperation Theorem; maximal norm; supremum norm; ultrametric analytic function; uniform closedness;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002443
