Localization operators on discrete Orlicz modulation spaces

In this paper, we introduce Orlicz spaces on $ \mathbb Z^n \times \mathbb T^n $ and Orlicz modulation spaces on $\mathbb Z^n$, and study inclusion relations, convolution relations, and duality of these spaces. We show that the Orlicz modulation space $M^Φ(\mathbb Z^n)$ is close to the modulation spa