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  • D-modules cohérents et holonomes

    Éléments de la théorie des systèmes différentiels

    de Claude Sabbah ...
    La théorie des D-modules est aujourd'hui un chapitre fondamental des éléments de la géométrie algébrique. Cette théorie intéresse bien d'autres domaines : théorie des singularités, cohomologie d'intersection et perversité ou groupes de Lie. ... Leer más

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  • Images directes et constructibilité

    Éléments de la théorie des systèmes différentiels

    La théorie des D-modules est aujourd'hui un chapitre fondamental des éléments de la géométrie algébrique. Cette théorie intéresse bien d'autres domaines : théorie des singularités, cohomologie d'intersection et perversité ou groupes de Lie. ... Leer más

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  • 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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  • Excursions in Harmonic Analysis, Volume 3

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  • Classical and Multilinear Harmonic Analysis: Volume 2

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    This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert ... Leer más

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  • Trends in Contemporary Mathematics

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    The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non ... Leer más

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

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    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

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  • Boundary Integral Equation Methods and Numerical Solutions

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    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

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  • Groupoid Metrization Theory

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