Pointwise analysis of Riemann's “nondifferentiable” function

dc.contributor.author	Holschneider, Matthias
dc.contributor.author	Tchamitchian, Philippe
dc.date.accessioned	2014-10-30T12:49:02Z
dc.date.available	2014-10-30T12:49:02Z
dc.date.issued	1991
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/14075
dc.language.iso	en	en
dc.subject	function of Riemann	en
dc.subject.ddc	515	en
dc.title	Pointwise analysis of Riemann's “nondifferentiable” function	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	We will show how to analyse the local regularity of functions with the help of the wavelet transform. These results will be applied to the function of Riemann, where we show the existence of a dense set of points where this function is differentiable. On another dense set we show the existence of local singularities of cusp type. On a third set we show differentiability to the right (left). On the remaining set the functions will be shown to be not differentiable.	en
dc.relation.isversionofjnlname	Inventiones Mathematicae
dc.relation.isversionofjnlvol	105	en
dc.relation.isversionofjnlissue	1	en
dc.relation.isversionofjnldate	1991
dc.relation.isversionofjnlpages	157-175	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1007/BF01232261	en
dc.relation.isversionofjnlpublisher	Springer	en
dc.subject.ddclabel	Analyse	en
dc.relation.forthcoming	non	en
dc.relation.forthcomingprint	non	en

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