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Another extension of the disc algebra
Disc Algebra Mergelyan’s Theorem Polynomial Approximation
2011/2/22
We identify the complex plane C with the open unit disc D = {z ∈ C : |z| < 1}by the homeomorphism C ∋ z 7→ z 1+|z| ∈ D.
An extension of the disc Algebra
Disc Algebra Mergelyan’s Theorem chordal metric polyno-mial approximation generic property
2010/12/14
We identify all uniform limits of polynomials on the closed unit disc D with respect to the chordal metric on C ∪ {∞}. One such limit is f ≡ ∞. The other limits are holomorphic functions f : D → C s...