Torsten Ehrhardt
University of California, Santa Cruz
90 Papers
648 Citations
Torsten Ehrhardt is an academic researcher from University of California, Santa Cruz. The author has contributed to research in topics: Toeplitz matrix & Logarithmic derivative. The author has an hindex of 21, co-authored 85 publications. Previous affiliations of Torsten Ehrhardt include Pohang University of Science and Technology & Chemnitz University of Technology.
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Papers
Painlevé V and time-dependent Jacobi polynomials
TL;DR: In this paper, the authors study the simplest deformation on a sequence of orthogonal polynomials and show that the resulting deformation induces an irregular singular point at infinity in addition to three regular singular points of the hypergeometric equation satisfied by the Jacobi polynomorphism.
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Painlev\'e V and time dependent Jacobi polynomials
TL;DR: In this article, the authors studied the simplest deformation on a sequence of orthogonal polynomials, namely, replacing the original (or reference) weight $w_0(x)$ defined on an interval by a new weight, and showed that the resulting "time-dependent" Jacobi polynomial satisfies a linear second order ode.
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Dyson's constant in the asymptotics of the Fredholm determinant of the sine kernel
TL;DR: In this paper, the asymptotics of the Fredholm determinant of the integral operator with the sine kernel on the interval $[0,\alpha]$ have been proved.
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Factorization in Weighted Wiener Matrix Algebras on Linearly Ordered Abelian Groups
TL;DR: In this article, the authors proved that if a matrix function has a canonical factorization in one such matrix Wiener algebra, then it belongs to the connected component of the identity of the group of invertible elements in the algebra.
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Factorization theory for a class of Toeplitz + Hankel operators
TL;DR: In this paper, the Toeplitz and Hankel operators of the form $M(\phi)=T(\phi)+H(\phi) were studied and it was shown that the latter is invertible if and only if the generated function admits a certain kind of generalized factorization.
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