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An introduction to ultrametric summa...

Natarajan, P.N.

An introduction to ultrametric summability theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to ultrametric summability theoryby P.N. Natarajan.
Author:	Natarajan, P.N.
Published:	New Delhi :Springer India :2015.
Description:	xiii, 159 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Summability theory.
Online resource:	http://dx.doi.org/10.1007/978-81-322-2559-1
ISBN:	9788132225591$q(electronic bk.)

An introduction to ultrametric summability theory
Natarajan, P.N.

An introduction to ultrametric summability theory[electronic resource] /by P.N. Natarajan. - 2nd ed. - New Delhi :Springer India :2015. - xiii, 159 p. :ill., digital ;24 cm. - Forum for interdisciplinary mathematics,v.22364-6748 ;. - Forum for interdisciplinary mathematics ;v. 1..

1. Introduction and Preliminaries -- 2. Some Arithmetic and Analysis in Qp; Derivatives in Ultrametric Analysis -- 3. Ultrametric Functional Analysis -- 4. Ultrametric Summability Theory -- 5. The Norlund and the Weighted Mean Methods -- 6. The Euler and the Taylor Methods -- 7. Tauberian Theorems -- 8. Silverman-Toeplitz Theorem for Double Sequences and Double Series -- 9. The Norlund Method and the Weighted Mean Method for Double Sequences.

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.

ISBN: 9788132225591$q(electronic bk.)

Standard No.: 10.1007/978-81-322-2559-1doiSubjects--Topical Terms:

199058
Summability theory.

LC Class. No.: QA295

Dewey Class. No.: 515.243

An introduction to ultrametric summability theory
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245 1 3 $a An introduction to ultrametric summability theory $h [electronic resource] / $c by P.N. Natarajan.
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300 $a xiii, 159 p. : $b ill., digital ; $c 24 cm.
490 1 $a Forum for interdisciplinary mathematics, $x 2364-6748 ; $v v.2
505 0 $a 1. Introduction and Preliminaries -- 2. Some Arithmetic and Analysis in Qp; Derivatives in Ultrametric Analysis -- 3. Ultrametric Functional Analysis -- 4. Ultrametric Summability Theory -- 5. The Norlund and the Weighted Mean Methods -- 6. The Euler and the Taylor Methods -- 7. Tauberian Theorems -- 8. Silverman-Toeplitz Theorem for Double Sequences and Double Series -- 9. The Norlund Method and the Weighted Mean Method for Double Sequences.
520 $a 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.
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650 2 4 $a Sequences, Series, Summability. $3 275704
650 2 4 $a Numerical Analysis. $3 275681
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830 0 $a Forum for interdisciplinary mathematics ; $v v. 1. $3 709159
856 4 0 $u http://dx.doi.org/10.1007/978-81-322-2559-1
950 $a Mathematics and Statistics (Springer-11649)