Divergent Series, Summability and Resurgence II: Simple and by Michèle Loday-Richaud

By Michèle Loday-Richaud

Addressing the query find out how to “sum” an influence sequence in a single variable whilst it diverges, that's, the way to connect to it analytic features, the quantity supplies solutions via offering and evaluating some of the theories of k-summability and multisummability. those theories practice specifically to all strategies of standard differential equations.

The quantity comprises purposes, examples and revisits, from a cohomological standpoint, the crowd of tangent-to-identity germs of diffeomorphisms of C studied in quantity 1. with the intention to utilizing the theories to options of differential equations, an in depth survey of linear usual differential equations is supplied, which include Gevrey asymptotic expansions, Newton polygons, index theorems and Sibuya’s facts of the meromorphic type 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 really is aimed toward graduate scholars and researchers in arithmetic and theoretical physics who're drawn to divergent sequence, even though heavily on the topic of the opposite volumes, it may be learn independently.

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