Time-periodic Gelfand-Shilov spaces and global hypoellipticity on $\mathbb{T}\times {\mathbb{R}}^n$

Fernando de Ávila Silva, Marco Cappiello

We introduce a class of time-periodic Gelfand-Shilov spaces of functions on $\mathbb{T}\times {\mathbb{R}}^n$, where $\mathbb{T}\sim \mathbb{R}/2\pi \mathbb{Z}$ is the one-dimensiona…