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Zeitschrift für Analysis und ihre Anwendungen


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Volume 8, Issue 3, 1989, pp. 221–229
DOI: 10.4171/ZAA/350

Published online: 1989-06-30

On the Singular Values of Toeplitz Matrices

Harold Widom[1]

(1) University of California at Santa Cruz, USA

In 1920 G. Szegö proved the basic result concerning the asymptotic distribution of the eigenvalues of selfadjoint Toeplitz matrices $T_n(f)$. An analogous result holds for the singular values in case $T_n(f)$ is not necessarily selfadjoint. In this paper we present a refinement of this (a second-order result) and also determine the limiting set of the singular values, both under appropriate hypotheses in the function $f$.

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Widom Harold: On the Singular Values of Toeplitz Matrices. Z. Anal. Anwend. 8 (1989), 221-229. doi: 10.4171/ZAA/350