On exponential bases and frames with non-linear phase functions and some applications

Jean-Pierre Gabardo, Chun-Kit Lai, Vignon Oussa

In this paper, we study the spectrality and frame-spectrality of exponential systems of the type $E(\Lambda ,\phi )=\{e^{2\pi i\lambda \cdot \phi (x)}:\lambda \in \Lambda \}$ where the phase function $\phi$ is a Borel me…