Spectral Theory from the Second-Orderq-Difference Operator | Zendy

Lazhar Dhaouadi | Zendy

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Spectral Theory from the Second-Orderq-Difference Operator

Author(s) -

Lazhar Dhaouadi

Publication year - 2007

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2007/16595

Subject(s) - algorithm , operator (biology) , mathematics , order (exchange) , artificial intelligence , computer science , chemistry , transcription factor , gene , finance , economics , biochemistry , repressor

Spectral theory from the second-order q-difference operator Δq 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 operatorΔq and we formulate some of its properties. In the end, we obtain the spectral measure

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