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Gotz Pfander : Sampling of Operators

Sampling and reconstruction of functions is a central tool in science. A key result is given by the classical sampling theorem for bandlimited functions. We describe the recently developed sampling theory for operators. We call operators bandlimited if their Kohn-Nirenberg symbols are band limited. The addresses engineers and mathematicians and should be accessible for those who have some education in linear algebra and calculus. The talk reviews sampling of functions and introduces some terminology from the theory of pseudodifferential operators. We will also discuss sampling theorems for stochastic operators.

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