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Abstract: The classical sampling theorem for bandlimited functions has recently beengeneralized to apply to so-called bandlimited operators, that is, to operatorswith band-limited Kohn-Nirenberg symbols. Here, we discuss operator samplingversions of two of the most central extensions to the classical samplingtheorem. In irregular operator sampling, the sampling set is not periodic withuniform distance. In multi-channel operator sampling, we obtain completeinformation on an operator by multiple operator sampling outputs.



Author: Yoon Mi Hong, Goetz E. Pfander

Source: https://arxiv.org/







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