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 (N,p n ) in such fields K.

DOI : https://doi.org/10.5802/ambp.176
Classification : 40,  46
Mots clés : regular summability methods, M,(N,p n ) methods, product theorems, consistency, analytic functions
@article{AMBP_2003__10_2_261_0,
     author = {Natarajan, P.N.},
     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 = {http://www.numdam.org/articles/10.5802/ambp.176/}
}
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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