| Abstract: | The blossom of a polynomial function of degree less than or equal to n is known as the unique function of n variables to be symmetric, affine with respect to each variable, and to coincide with the polynomial function itself when all the variables are equal. Chebyshev blossoms do satisfy similar properties, the affinity being now replaced by a pseudoaffinity property with respect to each variable. However, by themselves, these three properties may be insufficient to clearly identify the blossom of a given function. In this paper we show that this identification is made possible through an additional appropriate requirement of differentiability. June 15, 1999. Date revised: January 20, 2000. Date accepted: May 8, 2000. |
