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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 Fr\'echet spaces of entire functions with rapid decay on horizontal strips. In particular, we show that the projective Gelfand-Shilov spaces $\Sigma^1_\nu$ and $\Sigma^\nu_1$ are isomorphic to $\Lambda_{\infty}(n^{1/(\nu+1)})$ for $\nu > 0$.

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Andreas Debrouwere. 2020-03-04. Sequence space representations for spaces of entire functions with rapid decay on strips. https://arxiv.org/abs/2003.02364

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