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arxiv: 1808.06427 · v1 · pith:EQGT33P6new · submitted 2018-08-20 · 🧮 math.FA

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

classification 🧮 math.FA
keywords distributionsgelfand-shilovpilipoviproductstensorfubbinipropertiesproperty
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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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