New posts in Fourier Series

An interesting identity involving Jacobi $\theta_4$ and $\zeta(2)$

Littlewood-Paley decomposition

Infinite zeros in infinite series

Use Fourier series of odd function to evaluate $1-\frac15+\frac17-\frac1{11}+\cdots$

Solve $\sum_{k=0}^{\infty}\frac{1}{1-16k^2}$

Russian books on Fourier Series

Find the function given its Fourier series

Fourier series $\sum_{k=0}^\infty \frac{(-1)^k}{(2k+1)^2} \cos \left(\pi \left(k+\frac{1}{2} \right)x \right)$ for $x \in (-1,1)$

$A_{mn} = \frac{1}{\pi}\int_0^{\pi}d\theta\, \sin(2m\theta)\, \frac{1-\cos^{2n}(\theta)}{\tan(\theta)} = $ ? $m$, $n$ integers > 0

How is the study of wavelets not just a special case of Fourier analysis?