Weierstrass's function
Weierstrass constructed an example of a continuous, nowhere differentiable function defined by a uniformly convergent lacunary Fourier series:
John Hunter
Department of Mathematics
University of California
Davis, CA 95616, USA
e-mail: jkhunter@ucdavis.edu
Phone:
Office: 3230 Mathematical Sciences Building
Weierstrass constructed an example of a continuous, nowhere differentiable function defined by a uniformly convergent lacunary Fourier series:
Here are some plots of the Dirichlet, Fejer, Poisson kernels and the power approximate identity we used in class.
