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Article Citation - WoS: 1Citation - Scopus: 1An 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.Article Citation - WoS: 1Citation - Scopus: 1Spectral Method for Deriving Multivariate Poisson Summation Formulae(Amer inst Mathematical Sciences-aims, 2013) Guseinov, Gusein Sh.We show that using spectral theory of a finite family of pair-wise commuting Laplace operators and the spectral properties of the periodic Laplace operator some analogues of the classical multivariate Poisson summation formula can be derived.Article Citation - WoS: 31Citation - Scopus: 30Characterizing Specific Riemannian Manifolds by Differential Equations(Springer, 2003) Erkekoglu, F; García-Río, E; Kupeli, DN; Ünal, BSome characterizations of certain rank-one symmetric Riemannian manifolds by the existence of nontrivial solutions to certain partial differential equations on Riemannian manifolds are surveyed.
