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M. Duits

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Preprint Aug 2026

On Toeplitz determinants with slow Fourier decay

We study Toeplitz determinants $\det T_n(e^f)$ for $f$ whose Fourier coefficients satisfy $f_k=O(|k|^{-1})$. This regime extends beyond $H^{1/2}$ and includes symbols with Fisher-Hartwig singularities. We develop an operator-theoretic approach based on the Baker-Campbell-Hausdorff formula that separates the quadratic t...

Nedialko Bradinoff, M. Duits · 0 citations

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