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# Talk: On a degenerate version of the Favard's theorem

On a degenerate version of the Favard's theorem

Date: 2009..07..20
Event: International conference on CMMSE 2010
Venue: Almeria, Spain

## Abstract

We state a degenerate version of Favard’s theorem that allow us to extend the orthogonality properties valid up to some integer degree $$N$$ to Sobolev type orthogonality properties. We also present the process to obtain the factorization and the non-standard Sobolev-type orthogonality property for those f amilies of classical orthogonal polynomials which satisfy a finite orthogonality property, i.e. it consists in sum of finite number of mass points.