Basis for Power Series Solutions to Systems of Linear, Constant Coefficient Partial Differential Equations

Using the theory of generalized functions and the theory of Fourier transforms in several complex variables, previous authors developed a nonconstructive, integral representation for power series solutions to a given system of linear, constant coefficient partial differential equations (PDEs). For a variety of reasons that theory is quite technical. In this paper we describe an algorithm which gives a constructive, countable basis for the set of power series solutions to a given system of linear, constant coefficient PDEs.