An introduction to ultrametric summability theory
著者
書誌事項
An introduction to ultrametric summability theory
（Forum for interdisciplinary mathematics, v. 2）
Springer, c2015
2nd ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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 Noerlund 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 Noerlund Method and the Weighted Mean Method for Double Sequences.
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