A function theory for finding a basis for all polynomial solutions to linear constant coefficient pde's of homogeneous order
Paul S. Pedersen · Complex Variables Theory and Application An International Journal · 1994
In this paper, we develop a theory of functions on real, finitcly generated, associative, and commutative algebras which we then use to find a basis for the vector space of all real polunomial solutions to a given linear constam coeffieien partial differential equation of homogeneous order.