Sequence Spaces and Summability over Valued Fields
Sequence Spaces and Summability over Valued Fields

Author: P. N. Natarajan

Publisher: CRC Press

Published: 2019-07-09

Total Pages: 142

ISBN-13: 1000074919

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Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean). The book presents theory and methods in the chosen topic, spread over 8 chapters that seem to be important at research level in a still developing topic. Key Features Presented in a self-contained manner Provides examples and counterexamples in the relevant contexts Provides extensive references at the end of each chapter to enable the reader to do further research in the topic Presented in the same book, a comparative study of Archimedean and non-Archimedean Summability Theory Appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory The book is written by a very experienced educator and researcher in Mathematical Analysis particularly Summability Theory.

An Introduction to Ultrametric Summability Theory
An Introduction to Ultrametric Summability Theory

Author: P.N. Natarajan

Publisher: Springer Science & Business Media

Published: 2013-10-18

Total Pages: 111

ISBN-13: 8132216474

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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.