On determinants identity minus Hankel matrix
In this note, we study the asymptotics of the determinant det(IN−βHN) for N large, where HN is the N×N restriction of a Hankel matrix H with finitely many jump discontinuities in its symbol satisfying ∥H∥⩽1. Moreover, we assume β∈C with |β|
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| Veröffentlicht in: | The Bulletin of the London Mathematical Society 2019-08, Vol.51 (4), p.751-764 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this note, we study the asymptotics of the determinant det(IN−βHN) for N large, where HN is the N×N restriction of a Hankel matrix H with finitely many jump discontinuities in its symbol satisfying ∥H∥⩽1. Moreover, we assume β∈C with |β| |
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| ISSN: | 0024-6093 1469-2120 |
| DOI: | 10.1112/blms.12271 |