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The notation $\Omega(X)$ O(X)$ seems to be a quite standard notation for the algebra of all homomorphic holomorphic functions on some connected domain in $\mathbb{C}^n$ (or a complex manifold). I would like to know where did this notation come from. John P. D'Angelo's book, simply says "See [GR, p.2] for a discussion of the etymology of this standard notation." where [GR] is Grauert and Remmert's "Coherent analytic sheaves". However I have no access to that book. |
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Etymology of the O-notation for algebras of holomorphic functionsThe notation $\Omega(X)$ seems to be a quite standard notation for the algebra of all homomorphic functions on some connected domain in $\mathbb{C}^n$ (or a complex manifold). I would like to know where did this notation come from. John P. D'Angelo's book, simply says "See [GR, p.2] for a discussion of the etymology of this standard notation." where [GR] is Grauert and Remmert's "Coherent analytic sheaves". However I have no access to that book.
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