Talk:Hartogs's extension theorem

Merger proposal

I propose that Hartogs' lemma be merged into Hartogs' extension theorem. The two articles seem to be about the same thing. Set theorist (talk) 08:34, 16 June 2011 (UTC)

The two entries refer to the same property in the theory of functions of several complex variables and in the theory of partial differential operators: I support the merge proposal. Daniele.tampieri (talk) 07:09, 19 June 2011 (UTC)

An update. I've done a little bit of research within my personal library. The two theorems are the same: the locution "Osgood-Brown theorem" is used only in reference Vladimirov 1966, p. 153 which refers the reader to reference Fuks 1963, p. 284 for a proof, and in a few works of Soviet scientists referring always to Fuks 1963, p. 284. Therefore I strongly support the merging of the two entries and an improvement of the historical section, in order to describe correctly the history of the subject. I also propose the creation of an entry on Arthur Barton Brown, one of the eponyms of this theorem, since he mets also other criteria of notability: precisely he proved an important step of Sard's theorem and he was also a fellow of the National Academy of Sciences. Daniele.tampieri (talk) 12:11, 24 June 2011 (UTC)

• Fuks, B. A. (1963), Introduction to the Theory of Analytic Functions of Several Complex Variables, Translations of Mathematical Monographs, vol. 8, Providence, RI: American Mathematical Society, pp. vi+374, MR 0168793, Zbl 0138.30902.
• Vladimirov, V. S. (1966), Ehrenpreis, L. (ed.), Methods of the theory of functions of several complex variables. With a foreword of N.N. Bogolyubov, Cambridge-London: The M.I.T. Press, pp. XII+353, MR 0201669, Zbl 0125.31904 (Zentralblatt review of the original russian edition). One of the first modern monographs on the theory of several complex variables, being different from other ones of the same period due to the extensive use of generalized functions.

add Hartogs' phenomenon

I'd added "Hartogs' phenomenon," which lead to the notion of this Harotogs' extension theorem and the domain of holomorphy, hence the theory of several complex variables.--Enyokoyama (talk) 10:51, 18 March 2015 (UTC)

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