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In a Freud-type weighted ($w$) space, introducing another weight ($v$) withinfinitely many roots, we give a complete and minimal system with respect to$vw$, by deleting infinitely many elements from the original orthonormal systemwith respect to $w$. The construction of the conjugate system implies aninterpolation problem at infinitely many nodes. Besides the existence, we givesome convergence properties of the solution.

Biorthonormal Systems in Freud-type Weighted Spaces with Infinitely Many Zeros - An Interpolation Problem