An Introduction to Ultrametric Summability Theory

Beschreibung

This is the second, completely revised and expanded edition of the author’s first book, covering numerous new topics and recent developments in ultrametric summability theory. Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents 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. The book is also useful as a text for those who wish to specialize in ultrametric summability theory.
This is the second, completely revised and expanded edition of the author’s first book, covering numerous new topics and recent developments in ultrametric summability theory. Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents 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. The book is also useful as a text for those who wish to specialize in ultrametric summability theory.
Introduces the concepts of ultrametric summability theory—a fusion of summability theory and ultrametric analysis Broadens understanding of ultrametric analysis, an emerging branch of mathematics Presents expanded content with addition of new theories on ultrametric summability theory Authored by the winner of the Dr. Radhakrishnan Award for the Best Teacher in Mathematics Includes supplementary material: sn.pub/extras

Autor*in

P.N. Natarajan

Themen in »An Introduction to Ultrametric Summability Theory«

Archimedean axiom Canonical expansion Double sequences Hahn-Banach theorem Schur's theorem The Nörlund method Ultrametric valuation p-adic numbers

Stimmen zu »An Introduction to Ultrametric Summability Theory«

Details

Link teilen