Abstract
Mobile sources are the most common sources of electromagnetic waves. Therefore, the study of the influence of the speed of their movement and the length of the electromagnetic waves emitted by them on the electromagnetic field generated by them is an urgent scientific and technical problem. This article constructs fundamental and generalized solutions of the vibration transport system of Maxwell's equations at speeds not exceeding the speed of light. Direct and inverse Fourier transforms are applied to obtain the electromagnetic field strength using basis functions. The components of the Green's tensor in image space are constructed. When constructing the original solution, the properties of the Fourier transform of convolution are used. Generalized solutions of the vibration transport system of Maxwell's equations at sublight velocities for emitters of various shapes, which are described by both regular and singular generalized functions, have been constructed.