Titlebook: An Introduction to Ultrametric Summability Theory; P.N. Natarajan Book 2015Latest edition The Editor(s) (if applicable) and The Author(s),

公司

BALE

The Euler and The Taylor Methods,In this chapter, we introduce the Euler and the Taylor methods and present a detailed study of their properties.

环形

Tauberian Theorems,In this chapter, we prove Tauberian theorems for the Nörlund, the Weighted Mean and the Euler methods.

生命层

Silverman-Toeplitz Theorem for Double Sequences and Double Series,In the present chapter, we introduce double sequences and double series in ultrametric analysis. We prove Silverman-Toeplitz theorem for 4-dimensional infinite matrices. We also prove Schur’s and Steinhaus theorems for 4-dimensional matrices.

Preamble

,The Nörlund Method and The Weighted Mean Method for Double Sequences,In the current chapter, we introduce the Nörlund method and the Weighted Mean method for double sequences and establish many of their properties.

Visual-Acuity

formula

Forum for Interdisciplinary Mathematicshttp://image.papertrans.cn/a/image/155522.jpg

abnegate

HARP

创新

https://doi.org/10.1007/b138607troduced and Ingleton’s version of the Hahn–Banach theorem is proved. The classical “convexity” does not work in the ultrametric set up and it is replaced by the notion of “.-convexity”, which is briefly discussed at the end of the chapter.