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• W1541188655 startingPage "67" @default.
• W1541188655 abstract "Abstract We establish a q -Titchmarsh-Weyl theory for singular q -Sturm-Liouville problems. We define q -limit-point and q -limit circle singularities, and we give sufficient conditions which guarantee that the singular point is in a limit-point case. The resolvent is constructed in terms of Green’s function of the problem. We derive the eigenfunction expansion in its series form. A detailed worked example involving Jackson q -Bessel functions is given. This example leads to the completeness of a wide class of q -cylindrical functions." @default.
• W1541188655 created "2016-06-24" @default.
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• W1541188655 date "2012-03-01" @default.
• W1541188655 modified "2023-10-13" @default.
• W1541188655 title "<i>q</i>-Titchmarsh-Weyl theory: series expansion" @default.
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• W1541188655 doi "https://doi.org/10.1215/00277630-1543787" @default.
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