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Citation - WoS: 1
Citation - Scopus: 1
An Application of Spectral Theory of the Laplace Operator
(Taylor & Francis Ltd, 2013) Guseinov, Gusein Sh.
We describe the structure of arbitrary rapidly decreasing functions of the Laplace operator. Combining this with the spectral data of the periodic Laplace operator we develop a generalization of the classical Poisson summation formula.
Citation - WoS: 8
Citation - Scopus: 8
Completeness of the Eigenvectors of a Dissipative Second Order Difference Operator: Dedicated To Lynn Erbe on the Occasion of His 65th Birthday
(Taylor & Francis Ltd, 2002) Guseinov, GS
In this paper we consider a dissipative linear operator generated in the Hilbert space l(2) by a second order difference expression on the semi-axis (in other words, by an infinite Jacobi matrix) in the Weyl-Hamburger limit-circle case. This operator is constructed via a boundary condition at infinity. We prove the completeness in 2 of the system of eigenvectors and associated vectors of the dissipative operator which is considered.