Inverse problems associated to a canonical differential system. (English) Zbl 0991.34070
Kérchy, László (ed.) et al., Recent advances in operator theory and related topics. The Béla Szőkefalvi-Nagy memorial volume. Proceedings of the memorial conference, Szeged, Hungary, August 2-6, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 127, 1-27 (2001).
The authors deal with the canonical differential system
and , called the potential, is an -matrix with entries in . The authors provide a solution to the inverse problem of recovering from spectral characteristics in the particular case of strictly pseudo-exponential potentials.
|34L25||Scattering theory, inverse scattering (ODE)|
|34A55||Inverse problems of ODE|
|81U40||Inverse scattering problems (quantum theory)|
|47A56||Functions whose values are linear operators|
|34B20||Weyl theory and its generalizations|