2026-05-05T12:35:32Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/190672021-06-29T16:07:36Zcom_10324_38col_10324_852
UVaDOC
advisor
Sanz Gil, Javier
author
Not Abejón, Ana
editor
Universidad de Valladolid. Facultad de Ciencias
2016-09-20T18:47:31Z
2016-09-20T18:47:31Z
2016
http://uvadoc.uva.es/handle/10324/19067
En este trabajo se presenta el teorema de Denjoy-Carleman, que caracteriza las clases ultradiferenciables en R que son casianalíticas, es decir, aquellas cuyos elementos quedan determinados unívocamente cuando se conoce la sucesión de derivadas sucesivas en un punto. Entre los prerrequisitos necesarios, cabe mencionar uno de los teoremas de Paley-Wiener. Se ha incluido también el teorema clásico de Borel sobre la existencia de funciones indefinidamente derivables con derivadas arbitrariamente prefijadas en un punto.
spa
Attribution-NonCommercial-NoDerivatives 4.0 International
[Pendiente de asignar]
Clases ultradiferenciables en la recta real
info:eu-repo/semantics/bachelorThesis
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bGljZW5jaWEgQ3JlYXRpdmUgQ29tbW9ucyBzZWxlY2Npb25hZGFzIHBvciBlbCBhdXRvciBkZWwgVHJhYmFqby4KCkVsIHByZXNlbnRlIEFjdWVyZG8gZW50cmFyJmFhY3V0ZTsgZW4gdmlnb3IgZW4gZXN0ZSBtb21lbnRvIHkgdGVuZHImYWFjdXRlOyB1bmEgZHVyYWNpJm9hY3V0ZTtuIGluZGVmaW5pZGEuIFNpbiBwZXJqdWljaW8gZGUgCmVzdGEgZHVyYWNpJm9hY3V0ZTtuIGluZGVmaW5pZGEgaW5pY2lhbG1lbnRlIHBhY3RhZGEsIHNlIHBvZHImYWFjdXRlOyBwb25lciBmaW4gYWwgcHJlc2VudGUgQWN1ZXJkbzogcG9yIHZvbHVudGFkIGRlIGxhcyBwYXJ0ZXMsIApwb3IgaW5jdW1wbGltaWVudG8gZGUgY3VhbHF1aWVyYSBkZSBsYXMgb2JsaWdhY2lvbmVzIGRlcml2YWRhcyBkZWwgQWN1ZXJkbywgcG9yIHZvbHVudGFkIGV4cHJlc2EgZGVsIEF1dG9yCkVuICBwcnVlYmEgZGUgY29uZm9ybWlkYWQsIGxhcyBwYXJ0ZXMgYWNlcHRhbiBlbCBwcmVzZW50ZSBBY3VlcmRvCgoKCgo=
URL
https://uvadoc.uva.es/bitstream/10324/19067/1/TFG-G1791.pdf
File
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b6e0d1152cb9ab60c8ffe34bf02ec87c
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TFG-G1791.pdf