The spectral density of Hankel operators with piecewise continuous symbols

DOI10.1007/S00020-019-2556-9zbMATH Open1512.47051arXiv1903.11572WikidataQ126646504 ScholiaQ126646504MaRDI QIDQ6316296

Emilio Fedele

Publication date: 27 March 2019

Abstract: In 1966, H. Widom proved an asymptotic formula for the distribution of eigenvalues of the $NimesN$ truncated Hilbert matrix for large values of $N$. In this paper, we extend this formula to Hankel matrices with symbols in the class of piece-wise continuous functions on the unit circle. Furthermore, we show that the distribution of the eigenvalues is independent of the choice of truncation (e.g. square or triangular truncation).

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

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