Given the Fourier series
$$f(z) = \sum_{k=-\infty}^\infty c_k e^{ikz}$$
but with $c_k\in(\mathbb Q+ i\mathbb Q)$ instead of $\mathbb C$ (or even purely real), are the functions obtained this way in something special?
Given the Fourier series
$$f(z) = \sum_{k=-\infty}^\infty c_k e^{ikz}$$
but with $c_k\in(\mathbb Q+ i\mathbb Q)$ instead of $\mathbb C$ (or even purely real), are the functions obtained this way in something special?
Copyright © 2021 JogjaFile Inc.