Graduate School of Mathematical Sciences, The University of Tokyo
Journal of Mathematical Sciences, The University of Tokyo. Vol. 7 (2000), No. 1, Page 147-162
We show the unique solvability of a Fuchsian Cauchy problem in the space of entire functions. As immediate corollaries, we give some injectivity and bijectivity results for a class of partial differential operators on the space of entire functions of exponential type.