20/06/2014, 14:30 — 15:30 — Room P3.31, Mathematics Building
Ana C. Conceição, Universidade do Algarve
Analytical algorithms for computing the kernel of some classes of
singular integral operators
The main goal of this talk is to show how symbolic computation
can be used to compute the kernel of some classes of singular
integral operators. In addition, we present some results on the
dimension of the kernel of some classes of singular integral
operators whose kernel, in general, can not be determined in an
explicit form. The methods developed rely on innovative techniques
of Operator Theory and have a great potential of extension to more
complex and general problems. Some nontrivial examples computed
with the computer algebra system Mathematica are
presented.