An introduction to ultrametric summability theory [electronic resource]
- 作者： Natarajan, P.N.
- 其他作者：
- 其他題名：
- Forum for interdisciplinary mathematics,
- 出版： New Delhi : Springer India :Imprint: Springer
- 版本：2nd ed.
- 叢書名： Forum for interdisciplinary mathematics,v.2
- 主題： Summability theory. , Mathematics , Sequences, Series, Summability. , Numerical analysis , Fourier analysis
- ISBN： 9788132225591 (electronic bk.) 、 9788132225584 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 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.
- 摘要註: 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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讀者標籤：
- 系統號： 005137408 | 機讀編目格式
館藏資訊
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.