Topological construction of transseries and introduction to generalized Borel summability

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dc.creatorCostin, O.
dc.date2006-08-13
dc.date.accessioned2026-07-07T07:21:42Z
dc.date.available2026-07-07T07:21:42Z
dc.descriptionTransseries in the sense of Écalle are constructed using a topological approach. A general contractive mapping principle is formulated and proved, showing the closure of transseries under a wide class of operations. In the second part we give an overview of results and methods reconstruction of actual functions and solutions of equations from transseries by generalized Borel summation with in ordinary and partial differential and difference equations.
dc.identifierhttps://arxiv.org/abs/math/0608309
dc.identifierhttp://arxiv.org/abs/math/0608309
dc.identifierAMS CONM series vol. 373, 137--177, 2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115394
dc.subjectClassical Analysis and ODEs
dc.subject34M37,34M30
dc.titleTopological construction of transseries and introduction to generalized Borel summability
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