An Introduction to Ultrametric Summability Theory

✍ Scribed by P.N. Natarajan (auth.)

Publisher: Springer India
Year: 2014
Tongue: English
Leaves: 111
Series: SpringerBriefs in Mathematics
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents, for the first time, a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branch of mathematics (summability theory) with a modern branch of analysis (ultrametric analysis). Several mathematicians have contributed to summability theory as well as functional analysis. The book will appeal to both young researchers and more experienced mathematicians who are looking to explore new areas in analysis.

✦ Table of Contents

Front Matter....Pages i-ix
Introduction and Preliminaries....Pages 1-14
Some Arithmetic and Analysis in $${\mathbb {Q}}_p$$ Q p : Derivatives in Ultrametric Analysis....Pages 15-22
Ultrametric Functional Analysis....Pages 23-28
Ultrametric Summability Theory....Pages 29-100
Back Matter....Pages 101-102

✦ Subjects

Sequences, Series, Summability; Analysis

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