Currently I am working within the FWF START project "Spectral Analysis and Applications to Soliton Equations" of Gerald Teschl at the faculty of mathematics of the University of Vienna. On this page you may find my publications, recent preprints (also available on arXiv) as well as a curriculum vitae.
Preprints
- Two inverse spectral problems for a class of singular Krein strings, ... – TeX PDF
- Inverse uniqueness results for Schrödinger operators using de Branges theory, ... – TeX PDF
Publications
- Singular Weyl-Titchmarsh-Kodaira theory for Jacobi operators, with G. Teschl, Oper. Matrices (to appear) – TeX PDF
-
Direct and inverse spectral theory of singular left-definite Sturm-Liouville operators,
J. Differential Equations 253 (2012), no. 2, 604-634
– TeX
PDF
» Extended version with more detailed proofs: TeX PDF - Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra, with G. Teschl, Trans. Amer. Math. Soc. (to appear) – TeX PDF
- Sturm-Liouville operators on time scales, with G. Teschl, J. Difference Equ. Appl. (to appear) – TeX PDF
- Sturm-Liouville operators with measure-valued coefficients, with G. Teschl, J. Anal. Math (to appear) – TeX PDF
- On the connection between the Hilger and Radon-Nikodym derivatives, with G. Teschl, J. Math. Anal. Appl. 385 (2012), no. 2, 1184-1189 – TeX PDF
Theses
- On the isospectral problem of the Camassa-Holm equation, doctoral thesis, University of Vienna, 2011 – PDF
- Direkte und inverse Spektraltheorie von Sturm-Liouville Differentialoperatoren, diploma thesis (in german), Vienna University of Technology, 2009 – PDF
Contact Information
 |
Jonathan Eckhardt Faculty of mathematics University of Vienna Nordbergstrasse 15 1090 Vienna Austria Phone: +43 1 4277 50482 Office: UZA 2, Room 2A 553 Email: jonathan.eckhardt@univie.ac.at |