Alexander Sakhnovich 2006 Inverse Problems 22 2083 doi:10.1088/0266-5611/22/6/011
Alexander Sakhnovich
Show affiliationsNew formulae on the inverse problem for the continuous skew-self-adjoint Dirac-type system are obtained. For the discrete skew-self-adjoint Dirac-type system the solution of a general-type inverse spectral problem is also derived in terms of the Weyl functions. The description of the Weyl functions on the interval is given. Borg–Marchenko-type uniqueness theorems are also derived for both discrete and continuous non-self-adjoint systems.
30G25 Discrete analytic functions
47B25 Symmetric and selfadjoint operators (unbounded)
34B20 Weyl theory and its generalizations
37K15 Integration of completely integrable systems by inverse spectral and scattering methods
Issue 6 (December 2006)
Received 7 January 2006, in final form 19 September 2006
Published 20 October 2006
Alexander Sakhnovich 2006 Inverse Problems 22 2083
D V Ahluwalia-Khalilova 2005 Class. Quantum Grav. 22 1433
P. Español and P. Warren 1995 Europhys. Lett. 30 191
Luo Shao-kai et al 2001 Chinese Phys. 10 271
M D Karunanayake et al 2007 Meas. Sci. Technol. 18 1908
Maurice G Cox 2007 Metrologia 44 187
S E Alm and R Parviainen 2004 J. Phys. A: Math. Gen. 37 549
David T Burns et al 2007 Metrologia 44 L53
James M Nester 2004 Class. Quantum Grav. 21 S261
Chang Zhe et al 2005 Chinese Phys. Lett. 22 791