An Introduction to Ultrametric Summability Theory

• Main Author: Natarajan, P.N (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New Delhi : Springer India : Imprint: Springer, 2015.
• Series: Forum for Interdisciplinary Mathematics, 2
• Subjects: Mathematics.; Fourier analysis.; Sequences (Mathematics).; Numerical analysis.; Sequences, Series, Summability.; Numerical Analysis.; Fourier Analysis.

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...

Table of Contents:

• 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 Nörlund 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 Nörlund Method and the Weighted Mean Method for Double Sequences.