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  • Groupoid Metrization Theory

    With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis

    Series series Mathematics and Statistics (R0)
    The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided.Unique features of Metrization Theory for Groupoids: ... Read more

    $89.99 USD

  • Geometric Harmonic Analysis II

    Function Spaces Measuring Size and Smoothness on Rough Sets

    Series series Mathematics and Statistics (R0)
    This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings.Volume II is concerned with function spaces measuring size and/or smoothness, such as ... Read more

    $161.99 USD

  • Geometric Harmonic Analysis I

    A Sharp Divergence Theorem with Nontangential Pointwise Traces

    Series series Mathematics and Statistics (R0)
    This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for ... Read more

    $179.99 USD

  • Singular Integral Operators, Quantitative Flatness, and Boundary Problems

    Series series Mathematics and Statistics (R0)
    This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of ... Read more

    $98.99 USD

  • Geometric Harmonic Analysis V

    Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems

    Series series Mathematics and Statistics (R0)
    This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for ... Read more

    $197.99 USD

  • Geometric Harmonic Analysis IV

    Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis

    Series series Mathematics and Statistics (R0)
    This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for ... Read more

    $161.99 USD

  • Geometric Harmonic Analysis III

    Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering

    Series series Mathematics and Statistics (R0)
    This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for ... Read more

    $197.99 USD

  • Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces

    A Sharp Theory

    Series series Mathematics and Statistics (R0)
    Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces. The text is divided into two main parts, with the first part providing atomic, molecular, and grand maximal function characterizations of Hardy spaces and formulates sharp versions of basic analytical tools for quasi-metric ... Read more

    $49.99 USD

  • Multi-Layer Potentials and Boundary Problems

    for Higher-Order Elliptic Systems in Lipschitz Domains

    Series series Mathematics and Statistics (R0)
    Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods ... Read more

    $49.99 USD

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