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| Home > Articles > Published articles > The well-behaved Catalan and Brownian averages and their applications to real resummation |
| Home > Articles > Published articles > The well-behaved Catalan and Brownian averages and their applications to real resummation |
| Date: | 1997 |
| 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. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 41 n. 1 (1997) p. 209-222, ISSN 2014-4350 |
