On determinants identity minus Hankel matrix

On determinants identity minus Hankel matrix

In this note, we study the asymptotics of the determinant \(\det(I_N - \beta H_N)\) for \(N\) large, where \(H_N\) is the \(N\times N\) restriction of a Hankel matrix \(H\) with finitely many jump discontinuities in its symbol satisfying \(\|H\|\leq 1\). Moreover, we assume \(\beta\in\mathbb C\) wit...

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Veröffentlicht in:arXiv.org 2018-08
Hauptverfasser: Fedele, Emilio, Gebert, Martin
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Determinants
Mathematics - Functional Analysis
Servers
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Zusammenfassung:In this note, we study the asymptotics of the determinant \(\det(I_N - \beta H_N)\) for \(N\) large, where \(H_N\) is the \(N\times N\) restriction of a Hankel matrix \(H\) with finitely many jump discontinuities in its symbol satisfying \(\|H\|\leq 1\). Moreover, we assume \(\beta\in\mathbb C\) with \(|\beta|
ISSN:2331-8422
DOI:10.48550/arxiv.1808.08009