Erschienen in:

1984 | OriginalPaper | Buchkapitel

Properties of C(G) and H(G)

verfasst von : D. H. Luecking, L. A. Rubel

Erschienen in: Complex Analysis

Verlag: Springer New York

Enthalten in: Professional Book Archive

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With little change we can study functions of several variables. To keep the notation simple, we will restrict ourselves to two variables. In that case, G is an open set in ℂ × ℂ = ℂ2. Then C(G) is defined just as in the one-variable case. (The distance in ℂ2 between two points (z,w) and (z’,w’) will be denoted d((z,w), (z’,w’)) = (|z - z’|2 + |w - w’|2)½. We also define H(G) as before, but must first define holomorphic.

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