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Displaying similar documents to “The well-behaved Catalan and Brownian averages and their applications to real resummation.”

On the stability by convolution product of a resurgent algebra

Yafei Ou (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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We consider the space of holomorphic functions at the origin which extend analytically on the universal covering of ℂ ∖ ω ℤ , ω ∈ ℂ ☆ . We show that this space is stable by convolution product, thus is a resurgent algebra.

Convolution equations in the space of Laplace distributions

Maria E. Pliś (1998)

Annales Polonici Mathematici

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A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.

A certain integral-recurrence equation with discrete-continuous auto-convolution

Mircea I. Cîrnu (2011)

Archivum Mathematicum

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Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.