Polydisc Algebras |
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1970 University absolute value Amer Math Soc analytic functions Banach Beurling Blaschke products Bochner boundary values bounded functions Bull Amer Math Cantor set compact subset complex variables Consider convex function define denote entire functions example exist bounded functions exists f false fi+l Forelli Forelli's Theorem Fourier analysis Fourier Series Function Theory Functional Analysis given growth conditions H₁(U² holomorphic functions HP spaces implies inner function interpolation set intersection invariant subspace Jensen's inequality Lebesgue measure Let f log F Math Soc 13 maximal ideal space measure is zero monomial non-negative open problem open set outer function PI set Poisson integral Polydisc algebras polynomial Proc Amer Math proof quotient Riesz Rudin sheaf theory slice function Stone-Weierstrass Theorem strongly convex third quadrants unit disk unit vector zero set ΡΙ ψορ