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Pointwise analysis of Riemann's “nondifferentiable” function (1991)

Holschneider, M. ; Tchamitchian, Ph.

Springer

Inventiones mathematicae 105 (1991), S. 157-175

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ISSN: 1432-1297

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01232261

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