Nonlinear analysis with endlessly continuable functions
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.
Final version to appear in the Proceedings of the RIMS conference "Several aspects of microlocal analysis" in Koukyuroku Bessatsu