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Cauchy Multiplication of Euler Summable Series in Ultrametric Fields

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Deepa R., Natarajan P. N., Srinivasan V.

Commentationes Mathematicae

2013

tom 53

nr 1

Euler summability method in a complete, non-trivially valued, ultrametric field of the characteristic zero was introduced by Natarajan in [7]. Some properties of the Euler summability method in such fields were studied in [2] and [7]. The purpose of the present note is to continue the study and to prove a pair of theorems on the Cauchy product of Euler summable sequences and series.

Ograniczanie wyników

1 Commentationes Mathematicae

1 Deepa R.

1 Natarajan P. N.

1 Srinivasan V.

1 2013

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Cauchy Multiplication of Euler Summable Series in Ultrametric Fields