- January 2013
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- Let P be the space of polynomials with complex coefficients endowed with a nondiagonal Sobolev norm parallel to .parallel to(1,p)(W)((V mu)), where the matrix V and the measure mu constitute a p- admissible pair for 1 <= p <= infinity. In this paperwe establish the zero location and asymptotic behavior of extremal polynomials associated to parallel to .parallel to(1,p)(W)((V mu)), stating hypothesis on the matrix V rather than on the diagonal matrix appearing in its unitary factorization.
- orthogonal polynomials; multiplication operator; zero location; complex-plane; spaces; respect; curves