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General Sampling Schemes For The Bergman Spaces, Newton Foster
General Sampling Schemes For The Bergman Spaces, Newton Foster
Graduate Theses and Dissertations
A characterization of sampling sequences for the Bergman spaces was originally provided by Seip and later expanded upon by Schuster. We consider a generalized notion of sampling using the infimum norm of the quotient space. Adapting some old techniques, we provide a characterization of general sampling sequences in terms of the lower uniform density.