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
Nien Fan Zhang 2006 Metrologia 43 195
Yu S Sayasov 1982 Plasma Phys. 24 155
R. Fitzpatrick 1993 Nucl. Fusion 33 1049
Pun-hon Ng et al 2009 Phys. Educ. 44 639
N H March 1955 Proc. Phys. Soc. A 68 726
E G Kalnins and W Miller 1982 J. Phys. A: Math. Gen. 15 2003
J Hietarinta et al 1994 J. Phys. A: Math. Gen. 27 3149
Virginia Yong and H Thomas Hahn 2005 Nanotechnology 16 354
M Rozenfeld 1972 Phys. Med. Biol. 17 861