Benjamin Eichinger

Postdoctoral fellow at Johannes Kepler University, Linz, Institute of Analysis

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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

  1. Asymptotics of Chebyshev rational functions with respect to subsets of the real line, with M. Lukic and G. Young, preprint. [arXiv]
  2. Stahl-Totik regularity for Dirac Operators, with E. Gwaltney and M. Lukic, preprint. [arXiv]
  3. Orthogonal rational functions with real poles, root asymptotics, and GMP matrices, with M. Lukic and G. Young, preprint. [arXiv]
  4. Pointwise Remez inequality, with P. Yuditskii, preprint. [arXiv]
  5. Spectral properties of Schrödinger operators associated to almost minimal substitution systems , with P. Gohlke, to appear in Ann. Herni Poincaré. [arXiv]
  6. Stahl-Totik regularity for continuum Schrödinger operators, with M. Lukic, preprint. [arXiv]
  7. 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]
  8. 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]
  9. 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]
  10. Ahlfors problem for polynomials, with P. Yuditskii, Sb. Math., 209 (3), (2018), 320-351. [arXiv]
  11. Szegő-Widom asymptotics of Chebyshev polynomials on Circular Arcs , J. Approx. Theory, 217, (2017), 15-25. [arXiv]
  12. Periodic GMP matrices , SIGMA Symmetry Integrability Geom. Methods Appl., 12, (2016), 19 pages. [arXiv]
  13. 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]