In the paper the example of a continuous, nowhere differentiable function produced by Weierstrass in the 1870s is related to his criticism of Riemann’s approach to complex function theory, and more particularly, to the existence of gap series with natural boundaries that prevent their analytic continuation outside them.
Funzioni analitiche e controesempi di Weierstrass / U. Bottazzini - In: Logic and philosophy in Italy : some trends and perspectives / [a cura di] E. Ballo, M. Franchella. - Milano : Polimetrica, 2006. - ISBN 88-7699-027-5. - pp. 311-326
Funzioni analitiche e controesempi di Weierstrass
U. BottazziniPrimo
2006
Abstract
In the paper the example of a continuous, nowhere differentiable function produced by Weierstrass in the 1870s is related to his criticism of Riemann’s approach to complex function theory, and more particularly, to the existence of gap series with natural boundaries that prevent their analytic continuation outside them.
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