What's the general relation between positive Fourier series and toeplitz matrices?

Assume the truncated discrete Fourier series of a function $f(x)$: $$ f(x)=\sum_{n=-N}^N C_n e^{2\pi n x i /L} $$ where $L$ is the period of $f(x)$. There is a rule for $f(x)$ which claims,...

24 February 2022 9,027 6 View