Product Theorems for Certain Summability Methods in Non-archimedean Fields
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 $\left(N,{p}_{n}\right)$ in such fields $K.$

DOI : https://doi.org/10.5802/ambp.176
Classification : 40,  46
Mots clés : regular summability methods, $M,\left(N,{p}_{n}\right)$ methods, product theorems, consistency, analytic functions
@article{AMBP_2003__10_2_261_0,
author = {P.N. Natarajan},
title = {Product Theorems for Certain Summability Methods in Non-archimedean Fields},
journal = {Annales Math\'ematiques Blaise Pascal},
pages = {261--267},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {10},
number = {2},
year = {2003},
doi = {10.5802/ambp.176},
mrnumber = {2031271},
zbl = {1049.40006},
language = {en},
url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.176/}
}
P.N. Natarajan. 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. https://ambp.centre-mersenne.org/articles/10.5802/ambp.176/

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