Explicit solutions for the Poisson problem in a ball for the logarithmic Laplacian, Явні розв'язки задачі Пуассона в кулі для логарифмічного лапласіана

<jats:p>In this note, we introduce explicit formulas for the solution of the Poisson problem in a ball for the logarithmic Laplacian by means of semigroup theory and the Fourier transform. In particular, the solution for such problem is closely related to Volterra functions, which arise, for instance, in some convolution-type integral equations with logarithmic kernels.</jats:p>