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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L. Székelyhidi was supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. K111651.
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Almira, J.M., Székelyhidi, L. On the Closure of Translation–Dilation Invariant Linear Spaces of Polynomials. Results. Math. 69, 263–272 (2016). https://doi.org/10.1007/s00025-015-0494-7
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DOI: https://doi.org/10.1007/s00025-015-0494-7