John Hunter

Department of Mathematics

University of California

Davis, CA 95616, USA

e-mail: `jkhunter@ucdavis.edu`

Phone:

- (530) 554-1397 (Office)
- (530) 752-6653 (Fax)

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.