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  • Painlevé III: A Case Study in the Geometry of Meromorphic Connections

    Series series Mathematics and Statistics (R0)
    The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painlevé equations, and it offers new results on a particular Painlevé III equation of type PIII (D6), called PIII (0, 0, 4, −4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections. This equation is equivalent to the radial sine ... Leer más

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  • Complex Analysis and Differential Equations

    Series series Mathematics and Statistics (R0)
    This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations.The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can be read independently, so in essence this ... Leer más

    $31.49 USD

  • Complex Analysis and Dynamical Systems

    New Trends and Open Problems

    Series series Mathematics and Statistics (R0)
    This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are ... Leer más

    $125.99 USD

  • Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields

    Series series Mathematics and Statistics (R0)
    Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing ... Leer más

    $58.49 USD

  • L² Approaches in Several Complex Variables

    Development of Oka–Cartan Theory by L² Estimates for the d-bar Operator

    de Takeo Ohsawa ...
    Series series Mathematics and Statistics (R0)
    The purpose of this monograph is to present the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Highlighted are the new precise results on the L² extension of holomorphic functions.In Chapter 1, the classical questions of several complex variables motivating the ... Leer más

    $80.99 USD

  • Metric Modular Spaces

    Series series Mathematics and Statistics (R0)
    Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the ... Leer más

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  • Excursions in Harmonic Analysis, Volume 4

    The February Fourier Talks at the Norbert Wiener Center

    Series series Mathematics and Statistics (R0)
    This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers and professionals in ... Leer más

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  • The Mathematical Legacy of Leon Ehrenpreis

    Series series Springer Nature Proceedings excluding Computer Science
    Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and ... Leer más

    $89.99 USD

  • Excursions in Harmonic Analysis, Volume 3

    The February Fourier Talks at the Norbert Wiener Center

    Series series Mathematics and Statistics (R0)
    This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals ... Leer más

    $49.99 USD

  • Applications of q-Calculus in Operator Theory

    Series series Mathematics and Statistics (R0)
    The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. This ... Leer más

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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: ... Leer más

    $89.09 USD

  • Introduction to Stokes Structures

    de Claude Sabbah ...
    Series series Mathematics and Statistics (R0)
    This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable near an irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also ... Leer más

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