Displaying similar documents to “On the stability by convolution product of a resurgent algebra”

The well-behaved Catalan and Brownian averages and their applications to real resummation.

Frédéric Menous (1997)

Publicacions Matemàtiques

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The aim of this expository paper is to introduce the well-behaved uniformizing averages, which are useful in resummation theory. These averages associate three essential, but often antithetic, properties: respecting convolution; preserving realness; reproducing lateral growth. These new objects are serviceable in real resummation and we sketch two typical applications: the unitary iteration of unitary diffeomorphisms and the real normalization of real, local, analytic, vector fields. ...

Continuation of holomorphic solutions to convolution equations in complex domains

Ryuichi Ishimura, Jun-ichi Okada, Yasunori Okada (2000)

Annales Polonici Mathematici

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For an analytic functional S on ℂ n , we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in ℂ n . We determine the directions in which every solution can be continued analytically, by using the characteristic set.