During my graduation in applied mathematics (master's degree, fall
1998), I investigated convolutions of functions defined on
Kn (where K is the set of real or integer numbers). It
turns out that if subspaces of these function spaces are created by
restricting the support of these function to be within convex cones,
one creates algebras, and properties of the algebra correspond to
properties of the cone.
Professor
S.J.L. van Eijndhoven supervised me during this period.
You can find a copy of my master thesis, in Dutch here (gzipped postscript, 260 kb).