English

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

Functional Analysis 2018-08-21 v1

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.

Keywords

Cite

@article{arxiv.1808.06427,
  title  = {Tensor products for Gelfand-Shilov and Pilipovi{\'c} distribution spaces},
  author = {Joachim Toft},
  journal= {arXiv preprint arXiv:1808.06427},
  year   = {2018}
}

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18 pages