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arXiv · 1505.02370

On the closure of translation-dilation invariant linear spaces of polynomials

J. M. Almira·L. Székelyhidi
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Abstract

Assume that a linear space of real polynomials in $d$ variables is given which is translation and dilation invariant. We show that if a sequence in this space converges pointwise to a polynomial, then the limit polynomial belongs to the space, too.

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J. M. Almira, L. Székelyhidi. 2015-05-10. On the closure of translation-dilation invariant linear spaces of polynomials. https://arxiv.org/abs/1505.02370

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