Preprints
- Inverse scattering transform for the Ablowitz-Ladik hierarchy with quasi-periodic background.
- Scattering theory with finite-gap backgrounds: transformation operators and characteristic properties of scattering data, with I. Egorova and G. Teschl. [ TEX | PDF ]
Publications
- On the spatial asymptotics of solutions of the Ablowitz-Ladik hierarchy, Proc. Amer. Math. Soc. 138, 4249-4258 (2010). [ TEX | PDF ]
- The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy, with F. Gesztesy, H. Holden, and G. Teschl, Discrete Contin. Dyn. Syst. 26:1, 151-196 (2010). [ TEX | PDF ]
- Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds, with I. Egorova and G. Teschl, J. Math. Physics 50, 103522 (2009). [ TEX | PDF ]
- On the equivalence of different Lax pairs for the Kac-van Moerbeke hierarchy, with G. Teschl, in Modern Analysis and Applications, V. Adamyan (ed.) et al., 437-445, Oper. Theory Adv. Appl. 191, Birkhäuser, Basel, 2009 [ TEX | PDF ]
- Soliton solutions of the Toda hierarchy on quasi-periodic backgrounds revisited, with I. Egorova and G. Teschl, Math. Nach. 282, No. 4, 526-539 (2009). [ TEX | PDF ]
- Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy, with F. Gesztesy, H. Holden, and G. Teschl, Stud. Appl. Math. 120-4, 361-423 (2008). [ TEX | PDF ]
- Scattering theory for Jacobi operators with general steplike quasi-periodic background, with I. Egorova and G. Teschl, Zh. Mat. Fiz. Anal. Geom. 4-1, 33-62 (2008). [ TEX | PDF ]
- The Ablowitz-Ladik hierarchy revisited, with F. Gesztesy, H. Holden, and G. Teschl, in Methods of Spectral Analysis in Mathematical Physics, J. Janas (ed.) et al., 139-190, Oper. Theory Adv. Appl. 186, Birkhäuser, Basel, 2008. [ TEX | PDF ]
- Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy, with F. Gesztesy, H. Holden, and G. Teschl, Int. Math. Res. Notices 2007, no. 20, Art. ID rnm082, 55 pp (2007). [ TEX | PDF ]
- Scattering theory for Jacobi operators with steplike quasi-periodic background, with I. Egorova and G. Teschl, Inverse Problems 23, 905-918 (2007). [ TEX | PDF ]
- Inverse scattering transform for the Toda hierarchy with quasi-periodic background, with I. Egorova and G. Teschl, Proc. Amer. Math. Soc. 135, 1817-1827 (2007). [ TEX | PDF ]
- Trace formulas for Jacobi operators in connection with scattering theory for quasi-periodic background, with G. Teschl, in Operator Theory, Analysis and Mathematical Physics, J. Janas, et al. (eds.), 69-76, Oper. Theory Adv. Appl., 174, Birkhäuser, Basel, 2007. [ TEX | PDF ]
- Scattering theory for Jacobi operators with quasi-periodic background, with I. Egorova and G. Teschl, Comm. Math. Phys., 264-3, 811-842 (2006). [ PS | PDF ]
- Reconstructing Jacobi matrices from three spectra, with G. Teschl, in Spectral Methods for Operators of Mathematical Physics, J. Janas, P. Kurasov, and S. Naboko (eds.), 151-154, Oper. Theory Adv. Appl. 154, Birkhäuser, Basel, 2004. [ PS | PDF ]
Research Monograph
- Soliton Equations and Their Algebro-Geometric Solutions. Volume II: (1+1)-Dimensional Discrete Models, with F. Gesztesy, H. Holden, and G. Teschl, Cambridge Studies in Advanced Mathematics, Volume 114, Cambridge University Press, Cambridge, 2008. (ISBN-13: 9780521753081)
Theses
- Scattering theory for Jacobi operators and applications to completely integrable systems, doctoral thesis, University of Vienna, 2005. [ PDF ]
- Trace formulas and inverse spectral theory for finite Jacobi operators, diploma thesis, University of Vienna, 2002. [ PDF ]
You can also search MatSciNet or MATH Database. Most files are also available on arxiv.org.
You can download this list of publications in pdf format.