On determinants identity minus Hankel matrix

TY - JOUR

T1 - On determinants identity minus Hankel matrix

AU - Fedele, Emilio

AU - Gebert, Martin

PY - 2019/6/17

Y1 - 2019/6/17

N2 - 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|

AB - 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|

KW - 11C20 (secondary)

KW - 47B35 (primary)

U2 - 10.1112/blms.12271

DO - 10.1112/blms.12271

M3 - Article

SN - 0024-6093

VL - 51

SP - 751

EP - 764

JO - BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

JF - BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

IS - 4

ER -