@article{AMBP_2002__9_1_85_0, author = {Natarajan, P.N. and Srinivasan, V.}, title = {Silvermann-Toeplitz theorem for double sequences and series and its application to N\"orlund means in non-archimedean fields}, journal = {Annales math\'ematiques Blaise Pascal}, volume = {9}, year = {2002}, pages = {85-100}, mrnumber = {1914263}, zbl = {01805823}, language = {en}, url = {http://dml.mathdoc.fr/item/AMBP_2002__9_1_85_0} }
Natarajan, P.N.; Srinivasan, V. Silvermann-Toeplitz theorem for double sequences and series and its application to Nörlund means in non-archimedean fields. Annales mathématiques Blaise Pascal, Tome 9 (2002) pp. 85-100. http://gdmltest.u-ga.fr/item/AMBP_2002__9_1_85_0/
[1] Introduction to p-adic numbers and valuation theory, Academic Press, (1964). | MR 169847 | Zbl 0192.40103
,[2] Divergent series, Oxford (1949). | MR 30620 | Zbl 0032.05801
,[3] On the theory of double sequences, Tôhoku Mathematical Journal, 21 (1922), 3-14. | JFM 48.0234.04
,[4] Sur le théorème de Banach-Steinhaus, Indag. Math. 25 (1963), 121-131. | MR 151823 | Zbl 0121.32703
,[5] On relationships between Nörlund means for double series, Proc. Amer. Math. Soc. 5 (1954), 957-963. | MR 64892 | Zbl 0056.28401
,[6] Criterion for regular matrices in non-archimedean fields, J. Ramanujan Math. Soc. 6 (1991), 185-195. | MR 1132355 | Zbl 0751.40003
,[7] On Nörlund method of summability in non-archimedean fields, J. Analysis 2 (1994), 97-102. | MR 1281500 | Zbl 0807.40005
,[8] Divergent double sequences and series, Trans. Amer. Math. Soc. 28 (1926), 50-73. | JFM 52.0223.01 | MR 1501332
,[9] On certain summation processes in the p-adic field, Indag. Math. 27 (1965), 319-325. | MR 196334 | Zbl 0128.28004
,