Nonlinear analysis with endlessly continuable functions

2015/09/04 by Kamimoto, Shingo, Sauzin, David
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1509.01473

Abstract

We give estimates for the convolution product of an arbitrary number of endlessly continuable functions. This allows us to deal with nonlinear operations for the corresponding resurgent series, e.g. substitution into a convergent power series.

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