Allison Lewko

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20102012

most citedOrthonormal Systems in Linear Spans

1 citations · 1 across the 2 of their papers we have counts for

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math.CA2012

The Square Variation of Rearranged Fourier Series

Allison Lewko, Mark Lewko

We prove that there exists a rearrangement of the first $N$ elements of the trigonometric system such that the $L^{2}$ -norm of the square variation operator is at most $O_ε(\log^{9/2…

math.CA2012★ 1 cited

Orthonormal Systems in Linear Spans

Allison Lewko, Mark Lewko

We show that any $N$ -dimensional linear subspace of $L^{2} (T)$ admits an orthonormal system such that the $L^{2}$ norm of the square variation operator $V^{2}$ is as small as po…