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arxiv: 1509.01473 · v2 · pith:5E7ZXOANnew · submitted 2015-09-04 · 🧮 math.DS

Nonlinear analysis with endlessly continuable functions

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keywords continuableendlesslyfunctionsnonlinearseriesallowsanalysisarbitrary
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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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