Guseinov, Gusein Sh.Mathematics2024-07-052024-07-05201311747-69331747-694110.1080/17476933.2011.5925802-s2.0-84872375207https://doi.org/10.1080/17476933.2011.592580https://hdl.handle.net/20.500.14411/461We 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.eninfo:eu-repo/semantics/closedAccessLaplace operatorspectral projectioneigenvalueeigenfunctionPoisson summation formula35J0535P0535P10ArticleQ2Q3583363371WOS:000313420500006