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Erschienen in:
2015 | OriginalPaper | Buchkapitel
Cauchy Theory
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In Chapter VII,
§
4 we showed how a significant part of the classical theory of holomorphic or analytic functions on C can be obtained from Fourier series. In fact, our universal method for constructing them – a fundamental idea of Cauchy – is to integrate holomorphic functions along curves drawn in their domains of definition and thereby obtain a version of the “ fundamental theorem of differential and integral calculus ” (FT) for holomorphic functions, and then to deduce countless consequences.