Guseinov, Gusein Sh.Mathematics2024-07-052024-07-0520121110-757X10.1155/2012/7612482-s2.0-84861024191https://doi.org/10.1155/2012/761248https://hdl.handle.net/20.500.14411/1428Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in arbitrary dimensions. Among them are the well-known d'Alembert, Poisson, and Kirchhoff representation formulae in low space dimensions.eninfo:eu-repo/semantics/openAccess[No Keyword Available]ArticleQ2WOS:0003037191000011