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  • Continuous Versions of Some Classical Inequalities

    Series series Mathematics and Statistics (R0)
    This book presents the new fascinating area of continuous inequalities. It was recently discovered that several of the classical inequalities can be generalized and given in a more general continuous/family form. The book states, proves and discusses a number of classical inequalities in such continuous/family forms. Moreover, since many of the classical inequalities hold also in a refined form, ... Leer más

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

    Series series Mathematics and Statistics (R0)
    This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis.The classical theory of Fourier series deals with decomposition of a function into sinusoidal waves. Unlike these continuous waves the Vilenkin (Walsh) functions are rectangular waves. Such waves have already been used frequently in the theory of signal transmission, multiplexing, ... Leer más

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  • Weighted Inequalities Of Hardy Type (Second Edition)

    Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy-type inequalities and their limit (Carleman-Knopp type) inequalities. It also ... Leer más

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  • Matrix Spaces And Schur Multipliers: Matriceal Harmonic Analysis

    This book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis. Most results in the book have their analogues as classical or newer results in harmonic analysis. It can be used as a source for further research in many areas related to infinite matrices. In particular, it could be a perfect starting point for students looking for new directions to ... Leer más

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  • Convex Functions and Their Applications

    A Contemporary Approach

    Series series Mathematics and Statistics (R0)
    This second edition provides a thorough introduction to contemporary convex function theory with many new results. A large variety of subjects are covered, from the one real variable case to some of the most advanced topics. The new edition includes considerably more material emphasizing the rich applicability of convex analysis to concrete examples. Chapters 4, 5, and 6 are entirely new, covering ... Leer más

    $49.99 USD

  • Convex Functions and Their Applications

    A Contemporary Approach

    Series series Mathematics and Statistics (R0)
    This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years. These additions are essential for grasping the practical applications of convex function theory in solving contemporary real-world problems.To reflect these advancements, the material has been meticulously reorganized, with a greater emphasis ... Leer más

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  • Mathematics Without Boundaries

    Surveys in Pure Mathematics

    Series series Mathematics and Statistics (R0)
    The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator ... Leer más

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  • Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

    de Manfred Stoll ...
    Series Libro 431 - London Mathematical Society Lecture Note Series
    This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other ... Leer más

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  • Differential Equations: An Introduction To Basic Concepts, Results And Applications (Third Edition)

    de Ioan I Vrabie ...
    This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it ... Leer más

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  • The Three-Dimensional Navier–Stokes Equations

    Classical Theory

    Series Libro 157 - Cambridge Studies in Advanced Mathematics
    A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier–Stokes equations, this book provides self-contained proofs of some of the most significant results in the area, many of which can only be found in research papers. Highlights include the existence of global-in-time Leray–Hopf weak solutions and the local existence of strong solutions; the conditional ... Leer más

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  • Szegő's Theorem and Its Descendants

    Spectral Theory for L2 Perturbations of Orthogonal Polynomials

    de Barry Simon ...
    Series series Porter Lectures
    This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic ... Leer más

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  • All the Math You Missed

    (But Need to Know for Graduate School)

    Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity explains the basic points and a few key results of all the most important undergraduate ... Leer más

    $29.99 USD