Titlebook: Divergent Series, Summability and Resurgence II; Simple and Multiple Michèle Loday-Richaud Book 2016 Springer International Publishing Swi

SNEER

館長

外形

Six Equivalent Approaches to Multisummability,y two levels .. < .. before to state general results depending on an arbitrary number of levels. We prove the equivalence of the relativeWatson’s lemma with the Tauberian theorem proved in Chapter .. As an application we prove that any solution of a linear ordinary differential equation is multisummable for convenient levels . of summation.

Dorsal-Kyphosis

注射器

Irregularity and Gevrey Index Theorems for Linear Differential Operators,and value of the irregularity follow. An application to the Maillet-Ramis theorem which makes explicit the Gevrey order of solutions of linear ordinary differential equations is included. We also sketch a method based on wild analytic continuation, that is, continuation in the infinitesimal neighborhood.

有毛就脫毛

https://doi.org/10.1007/978-3-642-18927-2nk reduction. We prove the Borel-Ritt theorem which extends to the case of a complex variable the classical Borel theorem for a real variable. We end the chapter with the Cauchy-Heine theorem which links (non zero) asymptotic expansions to flat functions, considering both the case of Poincaré and Gevrey asymptotics.

和藹

發(fā)牢騷

https://doi.org/10.1007/978-3-642-18927-2y two levels .. < .. before to state general results depending on an arbitrary number of levels. We prove the equivalence of the relativeWatson’s lemma with the Tauberian theorem proved in Chapter .. As an application we prove that any solution of a linear ordinary differential equation is multisummable for convenient levels . of summation.

亂砍

CLASP

Four Equivalent Approaches to k-Summability,e found in [Mal95] or, in [Bal94] and [Cos09] (mostly for the Borel-Laplace approach) and [LP97] (for an approach through wild analytic continuation). More references can be found in these papers and books.