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

Frédéric Menous

Publicacions Matemàtiques (1997)

  • Volume: 41, Issue: 1, page 209-222
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Menous, Frédéric. "The well-behaved Catalan and Brownian averages and their applications to real resummation.." Publicacions Matemàtiques 41.1 (1997): 209-222. <http://eudml.org/doc/41279>.

@article{Menous1997,
abstract = {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.},
author = {Menous, Frédéric},
journal = {Publicacions Matemàtiques},
keywords = {Campos vectoriales; Formas cuadráticas; Sistemas diferenciales; Ciclos límite; Series sumables; Teoría de la sumabilidad; Brownian averages; Catalan averge; Ecalle theory; resummation; uniformization averages; Borel transforms; power series},
language = {eng},
number = {1},
pages = {209-222},
title = {The well-behaved Catalan and Brownian averages and their applications to real resummation.},
url = {http://eudml.org/doc/41279},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Menous, Frédéric
TI - The well-behaved Catalan and Brownian averages and their applications to real resummation.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 1
SP - 209
EP - 222
AB - 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.
LA - eng
KW - Campos vectoriales; Formas cuadráticas; Sistemas diferenciales; Ciclos límite; Series sumables; Teoría de la sumabilidad; Brownian averages; Catalan averge; Ecalle theory; resummation; uniformization averages; Borel transforms; power series
UR - http://eudml.org/doc/41279
ER -

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