139 citations · 376 across the 11 of their papers we have counts for
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Asymptotics of a Class of Operator Determinants
Harold Widom
In previous work of C. A. Tracy and the author asymptotic formulas were derived for certain operator determinants whose interest lay in the fact that quotients of them gave solutio…
On the Eigenvalues of Certain Canonical Higher-Order Ordinary Differential Operators
Albrecht Boettcher, Harold Widom
We consider the operator of taking the th derivative of a function with zero boundary conditions for the function and its first derivatives at two distinct points. Our ma…
From Toeplitz Eigenvalues through Green's Kernels to Higher-Order Wirtinger-Sobolev Inequalities
A. Boettcher, H. Widom
The paper is concerned with a sequence of constants which appear in several problems. These problems include the minimal eigenvalue of certain positive definite Toeplitz matrices,…
Two Elementary Derivations of the Pure Fisher-Hartwig Determinant
Albrecht Boettcher, Harold Widom
We present two elementary derivations of the formula for the Toeplitz determinant generated by a pure Fisher-Hartwig singularity.
On the Determinant of a Certain Wiener-Hopf + Hankel Operator
Estelle L. Basor, Torsten Ehrhardt, Harold Widom
We establish an asymptotic formula for determinants of truncated Wiener-Hopf+Hankel operators with symbol equal to the exponential of a constant times the characteristic function o…
Wiener-Hopf determinants with Fisher-Hartwig symbols
Estelle L. Basor, Harold Widom
With localization techniques one can obtain general limit theorems for Toeplitz determinants with Fisher-Hartwig singularities from the asymptotics for any symbol with one singular…