In a Freud-type weighted (w) space, introducing another weight (v) with infinitely many roots, we give a complete and minimal system with respect to vw, by deleting infinitely many elements from the original orthonormal system with respect to w. The construction of the conjugate system implies an interpolation problem at infinitely many nodes. Besides the existence, we give some convergence properties of the solution.
 Banach, S.1955Théorie des Opérations Lináires 23 Chelsea Publ. Co.New York.
Banach, S.1955Théorie des Opérations Lináires 23 Chelsea Publ. Co.New York.)| false
Kazarian, K. S., Zink, R. E.1997Some ramifications of a theorem of Boas and Pollard concerning the completition of a set of functions in L2Trans. Amer. Math. Soc.3494367–438310.1090/S0002-9947-97-02034-5.)| false