Summary
The biorthogonal systems which are studied in this paper are composed of an Appel set of polynomials and of a sequence of derivatives. Conditions on one sequence are given which ensure the existence of the other. Expansion theorems in terms of derivatives and by means of summability methods are then proved.
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This work has been sponsored by the European Office, Air Research and Development Command, U. S. Air Force, under Contract AF 61(052)-324.
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Steinberg, J. Classes of biorthonormal systems. Annali di Matematica 52, 183–218 (1960). https://doi.org/10.1007/BF02415675
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DOI: https://doi.org/10.1007/BF02415675