Functional Analysis and Applications Seminar 

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.