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New PDF release: Divergent Series, Summability and Resurgence II: Simple and

By Michèle Loday-Richaud

Addressing the query how one can “sum” an influence sequence in a single variable while it diverges, that's, how you can connect to it analytic services, the quantity supplies solutions via providing and evaluating many of the theories of k-summability and multisummability. those theories practice specifically to all recommendations of normal differential equations.

The quantity comprises purposes, examples and revisits, from a cohomological viewpoint, the crowd of tangent-to-identity germs of diffeomorphisms of C studied in quantity 1. that allows you to utilizing the theories to options of differential equations, an in depth survey of linear traditional differential equations is equipped, including Gevrey asymptotic expansions, Newton polygons, index theorems and Sibuya’s facts of the meromorphic class theorem that characterizes the Stokes phenomenon for linear differential equations.

This quantity is the second one in a sequence of 3, entitled Divergent sequence, Summability and Resurgence. it's geared toward graduate scholars and researchers in arithmetic and theoretical physics who're attracted to divergent sequence, even if heavily concerning the opposite volumes, it may be learn independently.

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Divergent Series, Summability and Resurgence II: Simple and Multiple Summability: 2 (Lecture Notes in Mathematics) by Michèle Loday-Richaud

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