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  • Lebesgue Points and Summability of Higher Dimensional Fourier Series

    by Ferenc Weisz ...
    Series series Mathematics and Statistics (R0)
    This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of ... Read more

    $167.99 CAD

  • Convergence and Summability of Fourier Transforms and Hardy Spaces

    by Ferenc Weisz ...
    Series series Mathematics and Statistics (R0)
    This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known summability methods, such as the Fejér, Riesz, Weierstrass, Abel, Picard, Bessel and Rogosinski summations.Following on the ... Read more

    $141.99 CAD

  • 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, ... Read more

    $218.99 CAD

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    Series Book 205 - Cambridge Tracts in Mathematics
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  • Number Theory: Arithmetic In Shangri-la - Proceedings Of The 6th China-japan Seminar

    Series Book 8 - Series On Number Theory And Its Applications
    This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory — additive problems, divisor problems, Diophantine equations — to elliptic ... Read more

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  • Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

    Series Book 165 - Encyclopedia of Mathematics and its Applications
    The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, ... Read more

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  • Diophantine Approximation and Dirichlet Series

    Series Book 80 - Texts and Readings in Mathematics
    The second edition of the book includes a new chapter on the study of composition operators on the Hardy space and their complete characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition operators, and connections between these two domains which often occur through the Kronecker approximation theorem ... Read more

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  • Optimization and Differentiation

    Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal control theory. ... Read more

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  • The Theory of Hardy's Z-Function

    Series Book 196 - Cambridge Tracts in Mathematics
    Hardy's Z-function, related to the Riemann zeta-function ζ(s), was originally utilised by G. H. Hardy to show that ζ(s) has infinitely many zeros of the form ½+it. It is now amongst the most important functions of analytic number theory, and the Riemann hypothesis, that all complex zeros lie on the line ½+it, is perhaps one of the best known and most important open problems in mathematics. Today ... Read more

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  • Combinatorics, Words and Symbolic Dynamics

    Edited by Valérie Berthé, Michel Rigo ...
    Series Book 159 - Encyclopedia of Mathematics and its Applications
    Internationally recognised researchers look at developing trends in combinatorics with applications in the study of words and in symbolic dynamics. They explain the important concepts, providing a clear exposition of some recent results, and emphasise the emerging connections between these different fields. Topics include combinatorics on words, pattern avoidance, graph theory, tilings and theory ... Read more

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  • Mathematics Without Boundaries

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    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 ... Read more

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  • Functional Analytic Methods for Partial Differential Equations

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