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Aug 19, 2019 at 9:26 vote accept user31459
Aug 18, 2019 at 18:04 answer added Alexandre Eremenko timeline score: 3
Aug 18, 2019 at 13:23 comment added Yemon Choi I am not a specialist, but one basic point is that the inner-outer factorization is important, and the definition of inner functions is quite natural. One then wants a description of the "non-inner part" which is as explicit as possible, and it happens that the Herglotz formula gives you such a description, which is essentially (IIRC) what you have written as the formula for an outer function
Aug 18, 2019 at 13:19 history edited Yemon Choi
replaced measure theory tag with CV tag which seems much more relevant
Aug 18, 2019 at 12:46 history asked user31459 CC BY-SA 4.0