Directional short-time Fourier transform of ultradistributions

Sanja Atanasova, Snježana Maksimović, Stevan Pilipović

We define and analyse the $k$-directional short-time Fourier transform and its synthesis operator over Gelfand Shilov spaces ${\mathcal{S}}_{\beta }^{\alpha }({\mathbb{R}}^n)$ and $\mathcal S^α_β(\math…