Bisectors of Linearly Separable Sets.
Convolution of Nörlund methods in non-archimedean fields
Silvermann-Toeplitz theorem for double sequences and series and its application to Nörlund means in non-archimedean fields
Cauchy Multiplication of Euler Summable Series in Ultrametric Fields
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.
Linear differential equations and Hurwitz series
In this article, we study solutions of linear differential equations using Hurwitz series. We first obtain explicit recursive expressions for solutions of such equations and study the group of differential automorphisms of the solutions. Moreover, we give explicit formulas that compute the group of differential automorphisms. We require neither that the underlying field be algebraically closed nor that the characteristic of the field be zero.
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