Geodesic
On the Singular Behaviour of the Titchmarsh-Weyl m-Function for the Perturbed Hill’s Equation on the Line
Canadian mathematical bulletin, Tome 40 (1997) no. 4, pp. 416-421

Voir la notice de l'article provenant de la source Cambridge University Press

For the perturbed Hill’s equation on the line, we study the behaviour of the matrix m-function at the spectral gap endpoints. In particular, we extend the result of Hinton, Klaus and Shaw that En , a gap endpoint, is a half-bound state (HBS) if and only if (E − En)1⁄2m(E) approaches a nonzero constant as E → En , to the present case.
DOI : 10.4153/CMB-1997-049-x
Mots-clés : 34L05, 34B20, 34B24 
Clemence, Dominic P. On the Singular Behaviour of the Titchmarsh-Weyl m-Function for the Perturbed Hill’s Equation on the Line. Canadian mathematical bulletin, Tome 40 (1997) no. 4, pp. 416-421. doi: 10.4153/CMB-1997-049-x
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