Optimization, Engineering, and a More General Corona Theorem
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These talks concern a certain optimization problem over the space of functions on the unit circle ∏. It is a general problem which subsumes the classical problem of finding the distance of a given function g to H∞ as a very special case. The qualitative theory has advanced rapidly over the last few years to the point where it now strictly extends the main result of the classical H∞ distance problem. The talk describes these new results, a more general Corona theory which is a by-product of them, and some of the substantial engineering motivation which underlies the optimization problem.