On Weighted Plane Waves Generated by the Poisson Operator and Associated with a Singular Differential Bessel Operator with a Negative Parameter
摘要
Abstract
The problem considered in the article arose in the study of ageneral singular ultrahyperbolic equation, which in a particularcase can be a classical ultrahyperbolic equation or a singularultrahyperbolic equation. A form of connection between the areasof weighted spheres in Euclidean spaces of different dimensions isobtained. The resulting connection can be used in the study ofmodern problems in the theory of singular differential andintegral equations.