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

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.

7 pages,submitted to a journal

References in corpus (1)

• Muntz type Theorems I