Product Theorems for Certain Summability Methods in Non-archimedean Fields
Natarajan, P.N.1
1 Ramakrishna Mission Vivekananda College Department of Mathematics Mylapore Chennai 600 004 INDIA
Annales mathématiques Blaise Pascal, Tome 10 (2003) no. 2, pp. 261-267.

In this paper, K denotes a complete, non-trivially valued, non-archimedean field. Sequences and infinite matrices have entries in K. The main purpose of this paper is to prove some product theorems involving the methods M and (N,p n ) in such fields K.

DOI : 10.5802/ambp.176
Classification : 40, 46
Mots-clés : regular summability methods, $M,(N,p_n)$ methods, product theorems, consistency, analytic functions
Natarajan, P.N. 1

1 Ramakrishna Mission Vivekananda College Department of Mathematics Mylapore Chennai 600 004 INDIA 
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Natarajan, P.N. Product Theorems for Certain Summability Methods in Non-archimedean Fields. Annales mathématiques Blaise Pascal, Tome 10 (2003) no. 2, pp. 261-267. doi : 10.5802/ambp.176. http://www.numdam.org/articles/10.5802/ambp.176/

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