Marino, Giuseppe; Pietramala, Paolamaria; Struppa, Daniele Carlo Factorization of solutions of convolution equations. (English) Zbl 0691.42019 Kobe J. Math. 6, No. 1, 23-36 (1989). The paper deals with the problem of finding necessary and sufficient conditions on distributions \(\mu_ i\), \(i=1,2\) which ensure that every \(C^{\infty}\) solution of the convolution equation \((\mu_ 1\times \mu_ 2)\times f=0\) can be written as \(f=f_ 1+f_ 2\), where \(\mu_ i\times f_ i=0\), \(i=1,2\). Also, the same problem is treated in the context of certain spaces of entire functions. Reviewer: D.Khavinson MSC: 42B99 Harmonic analysis in several variables 42A85 Convolution, factorization for one variable harmonic analysis 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type Keywords:convolution equation PDFBibTeX XMLCite \textit{G. Marino} et al., Kobe J. Math. 6, No. 1, 23--36 (1989; Zbl 0691.42019)