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
Hauptverfasser:	Fedele, Emilio, Gebert, Martin
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Sprache:	eng
Schlagworte:	11C20 (secondary) 47B35 (primary)
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description	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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title	On determinants identity minus Hankel matrix
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