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- W1664557869 abstract "It is very elementary to observe that functions interpolating an extremal two-point Pick problem on the polydisc are just left inverses to complex geodesics. In the present article we show that the same property holds for a three-point Pick problem on polydiscs, i.e. it may be expressed it in terms of three-complex geodesics. Using this idea we are able to solve that problem obtaining formulas and a uniqueness theorem for solutions of extremal problems. In particular, we determine a class of rational inner functions interpolating that problem. Possible extensions and further investigations are also discussed." @default.
- W1664557869 created "2016-06-24" @default.
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- W1664557869 date "2015-03-10" @default.
- W1664557869 modified "2023-09-27" @default.
- W1664557869 title "Three-point Nevanlinna Pick problem in the polydisc" @default.
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