On the Singular Behaviour of the Titchmarsh-Weyl m-Function for the Perturbed Hill’s Equation on the Line

DOI10.4153/CMB-1997-049-XzbMath0903.34018MaRDI QIDQ4384049

Dominic P. Clemence

Publication date: 20 April 1998

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

spectral gapperturbed Hill equationTitchmarsh-Weyl matrix function

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Linear symmetric and selfadjoint operators (unbounded) (47B25) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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