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- W1975585514 abstract "Let $f$ be a function in the bidisc algebra $A({{mathbf {D}}^2})$ whose zero set $Z(f)$ is contained in ${ 1} times overline {mathbf {D}}$. We show that the closure of the ideal generated by $f$ coincides with the ideal of functions vanishing on $Z(f)$ if and only if $f( cdot , alpha )$ is an outer function for all $alpha in overline {mathbf {D}}$, and $f(1, cdot )$ either vanishes identically or is an outer function. Similar results are obtained for a few other function algebras on ${{mathbf {D}}^2}$ as well." @default.
- W1975585514 created "2016-06-24" @default.
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- W1975585514 date "1988-02-01" @default.
- W1975585514 modified "2023-09-24" @default.
- W1975585514 title "Outer functions in function algebras on the bidisc" @default.
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- W1975585514 doi "https://doi.org/10.1090/s0002-9947-1988-0933313-4" @default.
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