The spectral density of Hankel operators with piecewise continuous symbols

2019/03/27 by Fedele, Emilio · 1 citation
#47B06 #47B35 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1903.11572

Abstract

In 1966, H. Widom proved an asymptotic formula for the distribution of eigenvalues of the N× N 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).

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• Ergodic Hankel operators

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