An Introduction to Ultrametric Summability Theory

• Κύριος συγγραφέας: Natarajan, P.N (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New Delhi : Springer India : Imprint: Springer, 2015.
• Σειρά: Forum for Interdisciplinary Mathematics, 2
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.