Spectral Theory from the Second-Order q -Difference Operator

Lazhar Dhaouadi

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-14

Abstract:

Spectral theory from the second-order q -difference operator Δ q is developed. We give an integral representation of its inverse, and the resolvent operator is obtained. As application, we give an analogue of the Poincare inequality. We introduce the Zeta function for the operator Δ q and we formulate some of its properties. In the end, we obtain the spectral measure.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:016595

DOI: 10.1155/2007/16595

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