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An Introduction to Ultrametric Summability Theory [electronic resource] / by P.N. Natarajan.

By: Natarajan, P.N [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: SpringerBriefs in Mathematics: Publisher: New Delhi : Springer India : Imprint: Springer, 2014Description: IX, 102 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9788132216476.Subject(s): Mathematics | Global analysis (Mathematics) | Sequences (Mathematics) | Mathematics | Sequences, Series, Summability | AnalysisDDC classification: 515.24 Online resources: Click here to access online
Contents:
Preface -- Introduction and Preliminaries.- Some Arithmetic and Analysis in Qp : Derivatives in Ultrametric Analysis.- Ultrametric Functional Analysis -- Ultrametric Summability Theory -- References -- Index.
In: Springer eBooksSummary: 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.
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Preface -- Introduction and Preliminaries.- Some Arithmetic and Analysis in Qp : Derivatives in Ultrametric Analysis.- Ultrametric Functional Analysis -- Ultrametric Summability Theory -- References -- Index.

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.

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