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math.DS2016
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…
math.DS2015★ 3 cited
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…