Sequence space representations for spaces of entire functions with rapid decay on strips

Andreas Debrouwere

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arXiv · 2003.02364

Sequence space representations for spaces of entire functions with rapid decay on strips

Andreas Debrouwere

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Abstract

We obtain sequence space representations for a class of Fréchet spaces of entire functions with rapid decay on horizontal strips. In particular, we show that the projective Gelfand-Shilov spaces $Σ^1_ν$ and $Σ^ν_1$ are isomorphic to $Λ_{\infty}(n^{1/(ν+1)})$ for $ν> 0$.

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BibTeX RIS

Andreas Debrouwere. 2020-10-16. Sequence space representations for spaces of entire functions with rapid decay on strips. https://arxiv.org/abs/2003.02364

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