# Factorization of Solutions of Convolution Equations II

## Document Type

Article

## Publication Date

1991

## Abstract

Let C=(Rn), be the vector space of complex valued C functions on Rn. It is well known (from the fundamental Principle of Ehrenpreis for the case n > 1 and more easily, from the classical Euler exponential polynomial representation of solutions of ordinary differential equations, for the case n 1) that if the partial differential equation (0.1) Q(D)f =O is such that Q C[Zl,..., Zn] can be factored as Q Q1 Q2, with Q1 and Q2 relatively prime, then every C solution of (0.1) can be written as f fl / rE, with Qi(D)fi 0, i= 1,2. The natural extension of the previous

## Recommended Citation

Marino, Giuseppe; Pietramala, Paolamaria; Struppa, Daniele Carlo. Factorization of solutions of convolution equations II. *Illinois Journal of Mathematics* 35 (1991), no. 3, 419--433. Retrieved from http://projecteuclid.org/euclid.ijm/1255987788

## Peer Reviewed

1

## Comments

This article was originally published in

Illinois Journal of Mathematics, volume 35, in 1991.