References
- Behncke , H. 2006 . A spectral theory of higher order differential operators . Proc. Lond. Math. Soc. , 92 ( 3 ) : 139 – 160 .
- Behncke , H. Spectral analysis of fourth order differential operators III . Math. Nachr. , to appear
- Behncke , H. The remainder term in asymptotic summation of linear difference systems . preprint
- Behncke , H. and Hinton , D.B. 2008 . Eigenfunctions, deficiency indices and spectra of odd order differential operators . Proc. Lond. Math. Soc. , 97 ( 3 ) : 425 – 449 .
- Behncke , H. , Hinton , D.B. and Remling , C. 2001 . The spectrum of differential operators of order 2n with almost constant coefficients . J. Differ. Equ. , 175 : 130 – 162 .
- Benzaid , Z. and Lutz , D.A. 1987 . Asymptotic representation of solutions of perturbed systems of linear difference equations . Stud. Appl. Math. , 77 : 195 – 221 .
- Clark , S. and Gesztesy , F. 2004 . On Weyl–Titchmarsh theory for singular finite Hamiltonian systems . J. Comput. Appl. Math. , 171 : 151 – 184 .
- Cojuhari , A.P. and Janas , J. 2007 . Discreteness of the spectrum for some unbounded Jacobi matrices . Acta Sci. Math. (Szeged) , 73 : 649 – 667 .
- Eastham , M.S.P. 1989 . The Asymptotic Solution of Linear Differential Sytems , London Math. Soc. Monographs New Series Oxford : Oxford University Press .
- Fischer , A. and Remling , C. 2009 . The absolutely continuous spectrum of discrete canonical systems . Trans. Am. Math. Soc. , 361 : 793 – 818 .
- Hinton , D.B. and Shaw , J.K. 1981 . On the Titchmarsh–Weyl M(λ)-functions for linear Hamiltonian systems . J. Differ. Equ. , 40 : 316 – 342 .
-
Okikiolu
,
G.O.
1971
.
Aspects of the Theory of Bounded Integral Operators in
-Spaces , London : Academic Press Ltd .
- Remling , C. 1998 . Spectral analysis of higher order differential operator I, general properties of the M-functions . Lond. Math. Soc. , 58 ( 2 ) : 367 – 380 .
- Remling , C. 1999 . Spectral analysis of higher order differential operator II, fourth order equations . Lond. Math. Soc. , 59 ( 2 ) : 188 – 206 .
- Remling , C. The absolutely continuous spectrum of one dimensional Schrödinger operators . preprint
- Remling , C. The absolutely continuous spectrum of Jacobi matrices . preprint
- Shi , Y. 2006 . Weyl–Titchmarsh theory for a class of discrete linear Hamiltonian systems . Linear Algebra Appl. , 416 : 452 – 519 .
- Simon , B. and Spencer , T. 1989 . Trace class perturbations and the absence of absolutely continuous spectra . Commun. Math. Phys. , 125 : 113 – 125 .