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An Introduction to Ultrametric Summability Theory

developments in ultrametric summability theory. Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book;

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Sequence Spaces and Summability over Valued Fields

interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean). The book presents theory and methods in the;

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An Introductory Course in Summability Theory

was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course;

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Functional Analysis and Summability

principle to prove some results in summability theory is also pointed out. Features A gentle introduction of the topics to the;

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Ultrametric Pseudodifferential Equations and Applications

Starting from physical motivations and leading to practical applications, this book provides an interdisciplinary perspective on the;

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Convergence and Summability of Fourier Transforms and Hardy Spaces

theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known;

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Advances in Non-Archimedean Analysis and Applications

, the idea of using ultrametric spaces to describe the states of complex systems, with a natural hierarchical structure, emerged in the works;

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Lebesgue Points and Summability of Higher Dimensional Fourier Series

the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of Lebesgue's theorem;

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Advances in Summability and Approximation Theory

areas of research in approximation theory. Presenting original papers by internationally recognized authors, the book is of interest to a wide;

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Fourier Series

of trigonometrical functions. Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, the text serves as an;

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Ultrametric Banach Algebras

ultrametric algebras.In uniform Banach algebras, the spectral norm is equal to the supremum of all continuous multiplicative seminorms whose kernel;

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Asymptotics and Borel Summability

-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains;

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Advances in Ultrametric Analysis

analysis: summation of p -adic series, rational maps on the projective line over Q p , non-Archimedean Hahn-Banach theorems, ultrametric Calkin;

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Absolutely Summing Operators

Many fundamental processes in analysis are best understood by studying and comparing the summability of series in various modes;

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Cambridge Studies in Advanced Mathematics

Many fundamental processes in analysis are best understood by studying and comparing the summability of series in various modes;

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Denseness, Bases and Frames in Banach Spaces and Applications

, spectral theory and applications to the Gribov operator in Bargmann space. Also, integral and integro-differential equations as well as;

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London Mathematical Society Lecture Note Series

part of the book seeks to give a brief account of integration theory on compact Hausdorff spaces. The second, larger part starts from the;

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Mathematical Theory of Domains

Domain theory is an established part of theoretical computer science, used in giving semantics to programming languages and logics;

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Fourier Analysis

of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis;

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Advanced Courses of Mathematical Analysis V

perspective of the current state of research, and new trends, in areas related to measure theory, harmonic analysis, non-associative structures;

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Tauberian Theory

Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic;

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Sequence Spaces

Presents Sequence Spaces, their properties and Summability methods, which provides the foundation of every course in analysis;

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Poset Codes Partial Orders Metrics and Coding Theory

-Tsfasman metric, which is an ultrametric. Conceived to be as self-contained as possible, the book starts from basic concepts of coding theory and;

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Sequence Spaces

spaces in fuzzy settings. This book is the main attraction for those who work in Sequence Spaces, Summability Theory and would also serve as;

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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series

. The first part of the book can be used as an introduction to the subject, and the following chapters summarize the most recent research;

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Harmonic Analysis on Finite Groups

, group theory, harmonic analysis and Markov chains. Its topics range from the basic theory needed for students new to this area, to advanced;

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Abstract Duality Pairs In Analysis

The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the;

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