A DIRECT SUM DECOMPOSITION OF A CLASS OF THE INFINITELY DIFFERENTIABLE FUNCTIONS ON R~2 WITH COMPACT SUPPORT
Mudan (Graduate School of Science and Engineering, Kagoshima University, Kagoshima, 890-0065, Japan) Chihara Hiroyuki (Dept. of Math. and Computer Science, Kagoshima University, Kagoshima, 890-0065, Japan) Jiong Sun (Inner Mongolia University, Hohhot 010021, Inner Mongolia, China)
In this paper, we consider a class of the infinitely differentiable functions with compact support on R2 , and give a kind of its direct sum decomposition.