  The notion of blossom in extended Chebyshev spaces offers adequate
generalizations and extra-utilities to the tools for free-form design schemes.
Unfortunately, such advantages are often overshadowed by the complexity of the
resulting algorithms. In this work, we show that for the case of Muntz spaces
with integer exponents, the notion of Chebyshev blossom leads to elegant
algorithms whose complexities are embedded in the combinatorics of Schur
functions. We express the blossom and the pseudo-affinity property in Muntz
spaces in term of Schur functions. We derive an explicit expression of the
Chebyshev-Bernstein basis via an inductive argument on nested Muntz spaces. We
also reveal a simple algorithm for the dimension elevation process. Free-form
design schemes in Muntz spaces with Young diagrams as shape parameter will be
discussed.
