Abstract
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.
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Supported by Hungarian National Foundation for Scientific Research, Grant No. T049301.
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Horváth, Á.P. Biorthonormal systems in Freud-type weighted spaces with infinitely many zeros – an interpolation problem. Acta Math Hung 130, 78–117 (2011). https://doi.org/10.1007/s10474-010-0040-8
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DOI: https://doi.org/10.1007/s10474-010-0040-8