New posts in Fourier Analysis

How to find functional square root of $\sin(x)$.

Example of a non-trace class operator

"Bad" Fourier Series derivation

Does there exist a non-trivial Fourier series which converges pointwise everywhere to the zero function?

Can someone clearly explain the discrete Fourier transform (DFT)?

Explicit Countable Orthonormal Basis for $L^2(\mathbb{R})$

How to find the sum $1+\frac{1}{2}-\frac{1}{4}-\frac{1}{5}+\frac{1}{7}+\frac{1}{8}-\frac{1}{10}-\frac{1}{11}+\cdots =\ ?$

Alternate proof of Dirichlet integral $\frac{\sin(x)}{x}$.

Minimum condition for convergence of Fourier series

Computing integral involving Dirac Delta Function