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. Bottazzini
Primo
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.
Settore MAT/04 - Matematiche Complementari
2006
Book Part (author)
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/27358
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact