Tensor products for Gelfand–Shilov and Pilipović distribution spaces

Abstract

Abstract We show basic properties on tensor products for Gelfand–Shilov distributions and Pilipović distributions. This also includes the Fubini’s property of such tensor products. We also apply the Fubini property to deduce some properties for short-time Fourier transforms of Gelfand–Shilov and Pilipović distributions.