3 citations · 3 across the 3 of their papers we have counts for
4 papers
Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders
Javier Jiménez-Garrido, Shingo Kamimoto, Alberto Lastra +1
We introduce a general multisummability theory of formal power series in Carleman ultraholomorphic classes. The finitely many levels of summation are determined by pairwise compara…
Resurgent functions and nonlinear systems of differential and difference equations
Shingo Kamimoto
The principal aim of this article is to establish an iteration method on the space of resurgent functions. We discuss endless continuability of iterated convolution products of res…
Iterated convolutions and endless Riemann surfaces
Shingo Kamimoto, David Sauzin
We discuss a version of Écalle's definition of resurgence, based on the notion of endless continuability in the Borel plane. We relate this with the notion of Ω-continuability, whe…
Nonlinear analysis with endlessly continuable functions
Shingo Kamimoto, David Sauzin
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 resu…