In [1, page 7], the author says. 



> 
> Kolmogorov showed that if the function $$f(x) = \sum\_{n=1}^{\infty} \frac{\cos 3^n x}{3^n}$$ has a finite or infinite generalized derivative on a set of positive measure, then the function is *nonmeasurable*.
> 
> 
> 


Where can I find a proof/explanation of this result (and/or other similar results) **in English**? The reference doesn't have to be to Kolmogorov's orignal paper; for example, a modern exposition would suffice (and might very well be better).


[1] A. N. Shiryaev, "Andrei Nikolaevich Kolmogorov", Theory of Probability
and Applications, vol 34, no. 1, 1988.



Kolmogorov's example of a measurable function not (generally) differentiable
A translation in english is in "Selected Works of A.N. Kolmogorov I" : ["On the possibility of a general definition of derivative, integral and summation of divergent series"](http://books.google.fr/books?id=ikN59GkYJKIC&pg=PA33) (page 33 and 34). 


