A Characterization of Compactly Supported Both M and N Reenable Distributions Ii

In this paper, a compactly supported distribution which is linearly independent , and both m and n reenable for some integer pair (m; n) satisfying m r 6 = n s for all positive integers r and s, is shown to be essentially a B-spline. Combining the characterization of compactly supported distributions which are linearly independent, and both m and n reenable for some integer pair (m; n) satisfying m r = n s for some positive integers r and s in Q. Sun and Z. Zhang, J. Approx. Theory, to appear, we give a complete characterization of compactly supported distributions which are linearly independent, and both m and n reenable for some integer pair (m; n).