Well,the objects of functions of several complex variables are manifolds with a complex topological vector space structure.Therefore,they are the centerpieces of the bulk of post-19th …

Jul 23, 2025 · 4 This question was triggered by the recent digitalisation of the almost forgotten but nevertheless important paper by Beppo Levi [3]. Premises In the field of several complex …

The reason I care about functions with several complex variables is the resolvent formalism. To solve a problem in linear algebra, you translate it into a problem in complex analysis (with …

Jul 17, 2020 · I am trying to educate myself about the basics of the theory of residues in several complex variables. As is usually written in the introduction in the textbooks on the topic, the …

May 24, 2019 · For what purpose do you study complex variables? Do you like geometry or formulas? If your aim is to use complex variables (for example in engineering and physics …

Maximum modulus principle for vector valued functions of several complex variables In the following paper: Shub and Smale, "On the Existence of Generally Convergent Algorithms", …

Sep 24, 2022 · Is there a good generalisation of Laurent series for several complex variables? I am interested in generalised power series that have some terms with negative powers, but not …

The author says "Several authors (Blumenthal, Hecke, Kloosterman) dealt with this subject, but none of them made it flourish. Contrary to Hilbert's expectation, progress on Hilbert modular …

Nov 6, 2012 · Can one indicate to me the Weierstrass factorization theorem in several variables (real or complex). In one complex variable the result is well known. Thank you in advance.

Nov 9, 2025 · I would like a reference for an analogue of the Phragmen-Lindelof in several complex variables. Specifically, if f is analytic in a region A ⊂ Cn A ⊂ C n and, by Bochner's …