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

Autores: Frédéric Menous
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 41, Nº 1, 1997 (Ejemplar dedicado a: Proceedings of the Symposium on Planar Vector Fields), págs. 209-222
Idioma: inglés
DOI: 10.5565/publmat_41197_13
Títulos paralelos:
- Las medias de buen comportamiento de Catalán y browniana y sus aplicaciones a la resumación real
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Resumen
- 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.