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An introduction to ultrametric summability theory P.N. Natarajan
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2026 English International Available online
View online- Format:
- Book
- Author/Creator:
- Natarajan, P. N., author.
- Series:
- Forum for interdisciplinary mathematics
- Forum for interdisciplinary mathematics 2364-6756
- Language:
- English
- Subjects (All):
- p-adic analysis.
- Physical Description:
- 1 online resource
- Edition:
- Third edition
- Place of Publication:
- New Delhi Springer [2026]
- Summary:
- "This is a 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. Three entirely new chapters explore sequence spaces and summability matrices. 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"-- Springer Nature Link
- Contents:
- Some arithmetic and analysis in Qp; derivatives in ultrametric analysis
- Ultrametric functional analysis
- Ultrametric summability theory
- The Nörlund and the weighted mean methods
- The Euler and the Taylor methods
- Tauberian theorems
- A study of the sequence space c0(p) over ultrametric fields
- On the sequence spaces l(p), c0(p), c(p), l∞(p) over ultrametric fields
- A characterization of the matrix class ∞, c0) and summability matrices of type M in ultrametric analysis
- Silverman-Toeplitz theorem for double sequences and double series
- The Nörlund method and the weighted mean method for double sequences
- Notes:
- Includes bibliographical references and index
- Online resource; title from PDF title page (Springer Nature Link, viewed July 8, 2026)
- Other Format:
- Print version Natarajan, P. N. Introduction to ultrametric summability theory
- ISBN:
- 9788132240235
- 8132240235
- OCLC:
- 1602210815
- Access Restriction:
- Restricted for use by site license
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