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- W18539964 abstract "This chapter presents an analytic continuation of holomorphic functions defined on or near a subset of ℂn to some larger set. This is the Hartogs phenomenon, restricted to function theory in ℂn, n > 1. In particular, the chapter discusses which subsets of ℂn have or do not have this type of property—the holomorphic extension problem. It also discusses the approximation of continuous functions on a subset 5 of ℂn by functions holomorphic near the set 5 in a uniform norm. This is the Weierstrass approximation property stemming from the classical Weierstrass approximation theorem in Rn—the holomorphic approximation problem. There is an intimate relation between these two problems." @default.
- W18539964 created "2016-06-24" @default.
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- W18539964 date "1974-01-01" @default.
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- W18539964 title "Function Theory on Differentiable Submanifolds" @default.
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- W18539964 doi "https://doi.org/10.1016/b978-0-12-044850-0.50038-1" @default.
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