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Titlebook: An Introduction to Ultrametric Summability Theory; P.N. Natarajan Book 2015Latest edition The Editor(s) (if applicable) and The Author(s),

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發(fā)表于 2025-3-21 16:32:01 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱(chēng)An Introduction to Ultrametric Summability Theory
影響因子2023P.N. Natarajan
視頻videohttp://file.papertrans.cn/156/155522/155522.mp4
發(fā)行地址Introduces the concepts of ultrametric summability theory—a fusion of summability theory and ultrametric analysis.Broadens understanding of ultrametric analysis, an emerging branch of mathematics.Pres
學(xué)科分類(lèi)Forum for Interdisciplinary Mathematics
圖書(shū)封面Titlebook: An Introduction to Ultrametric Summability Theory;  P.N. Natarajan Book 2015Latest edition The Editor(s) (if applicable) and The Author(s),
影響因子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.
Pindex Book 2015Latest edition
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沙發(fā)
發(fā)表于 2025-3-21 22:38:01 | 只看該作者
Ultrametric Functional Analysis,ic set up?too. However, the Hahn–Banach theorem fails to hold. To salvage the Hahn–Banach theorem, the concept of a “spherically complete field” is introduced and Ingleton’s version of the Hahn–Banach theorem is proved. The classical “convexity” does not work in the ultrametric set up and it is repl
板凳
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Ultrametric Summability Theory,n the topic) to the present. In the present chapter, Silverman–Toeplitz theorem is proved using the “sliding-hump method”. Schur’s theorem and Steinhaus theorem also find a mention. Core of a sequence and Knopp’s core theorem is discussed. It is proved that certain Steinhaus-type theorems fail to hold.
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https://doi.org/10.1007/978-81-322-2559-1Archimedean axiom; Canonical expansion; Double sequences; Hahn-Banach theorem; Schur‘s theorem; The N?rlu
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