Nech� $f \in \Bbb C^{\infty}(\Bbb R)$ je $2\pi$-periodick�
funkce.   Definujme
$$
\gather
f_k(x) = \frac{1}{2^k} f(2^k x), \, x \in \Bbb R, \, k \in \Bbb N_0;
\\
\varphi (x)  = \sum_{k=0}^{+\infty} f_k(x).
\endgather
$$
Vypo�t�te $\hat{\varphi}(n), \, n \in \Bbb Z$ v z�vislosti na
hodnot�ch $\hat{f}(m), \, m \in \Bbb Z.$
