Tensor products for Gelfand-Shilov and Pilipovi\'c distribution spaces

Abstract

We show basic properties on tensor products for Gelfand-Shilov distributions and Pilipovi\'c distributions. This also includes the Fubbini's property of such tensor products. We also apply the Fubbini property to deduce some properties for short-time Fourier transforms of Gelfand-Shilov and Pilipovi\'c distributions.

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