Sampling of Operators |
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Authors: | Götz E Pfander |
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Institution: | 1. School of Engineering and Science, Jacobs University, 28759, Bremen, Germany
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Abstract: | Sampling and reconstruction of functions is a fundamental tool in science. We develop an analogous sampling theory for operators whose Kohn-Nirenberg symbols are bandlimited. We prove sampling theorems for in this sense bandlimited operators and show that our results generalize both, the classical sampling theorem, and the fact that a time-invariant operator is fully determined by its impulse response. |
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