Cauchy Multiplication of Euler Summable Series in Ultrametric Fields

R. Deepa, P N Natarajan, and V. Srinivasan. "Cauchy Multiplication of Euler Summable Series in Ultrametric Fields." Commentationes Mathematicae 53.1 (2013): null. <http://eudml.org/doc/292465>.

@article{R2013,
abstract = {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.},
author = {R. Deepa, P N Natarajan, V. Srinivasan},
journal = {Commentationes Mathematicae},
keywords = {ultrametric field, regular method, euler summability method,Cauchy product},
language = {eng},
number = {1},
pages = {null},
title = {Cauchy Multiplication of Euler Summable Series in Ultrametric Fields},
url = {http://eudml.org/doc/292465},
volume = {53},
year = {2013},
}

TY - JOUR
AU - R. Deepa
AU - P N Natarajan
AU - V. Srinivasan
TI - Cauchy Multiplication of Euler Summable Series in Ultrametric Fields
JO - Commentationes Mathematicae
PY - 2013
VL - 53
IS - 1
SP - null
AB - 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.
LA - eng
KW - ultrametric field, regular method, euler summability method,Cauchy product
UR - http://eudml.org/doc/292465
ER -