Benjamin Eichinger
Postdoctoral fellow at Johannes Kepler University, Linz, Institute of Analysis
Contact Information
Office: S2 312
email: benjamin.eichinger at jku.at
Research Interests
Spectral Theory,
Functional Models,
Orthogonal Polynomials,
Integrable Systems,
Continuum and discrete Schrödinger operator,
Extremal Problems of Chebyshev type.
Publications
- Asymptotics of Chebyshev rational functions with respect to subsets of the real line, with M. Lukic and G. Young, preprint. [arXiv]
- Stahl-Totik regularity for Dirac Operators, with E. Gwaltney and M. Lukic, preprint. [arXiv]
- Orthogonal rational functions with real poles, root asymptotics, and GMP matrices, with M. Lukic and G. Young, preprint. [arXiv]
- Pointwise Remez inequality, with P. Yuditskii, preprint. [arXiv]
- Spectral properties of Schrödinger operators associated to almost minimal substitution systems , with P. Gohlke, to appear in Ann. Herni Poincaré. [arXiv]
- Stahl-Totik regularity for continuum Schrödinger operators, with M. Lukic, preprint. [arXiv]
- Szegő's Theorem for Canonical Systems: the Arov Gauge and a Sum Rule, with D. Damanik and P. Yuditskii, to appear in J. Spectr. Theory. [arXiv]
- Finite-gap CMV matrices: Periodic coordinates and a Magic Formula, with J.S. Christiansen and T. VandenBoom, Int. Math. Res. Not.,(2020),1--70. [article]
- KdV hierarchy via Abelian coverings and operator identities, with T. VandenBoom and P. Yuditskii, Trans. Amer. Math. Soc. Ser. B, 6, (2019), 1--44. [article]
- Ahlfors problem for polynomials, with P. Yuditskii, Sb. Math., 209 (3), (2018), 320-351. [arXiv]
- Szegő-Widom asymptotics of Chebyshev polynomials on Circular Arcs , J. Approx. Theory, 217, (2017), 15-25. [arXiv]
- Periodic GMP matrices , SIGMA Symmetry Integrability Geom. Methods Appl., 12, (2016), 19 pages. [arXiv]
- Jacobi Flow on SMP Matrices and Killip-Simon Problem on Two Disjoint Intervals , with F. Puchhammer and P. Yuditskii,
Compt. Methods Funct. Theory 16 (2016), no.1, 3-41.
Curiculum Vitae
Doctoral Thesis
Events
Complex Analysis, Spectral Theory and Approximation meet in Linz 2021, JKU Linz, Austria. [conference homepage]