Analytic Functions of Several Complex Variables

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An overview of periodic elliptic operators (2015, background): “The following result is a simple incarnation of the Oka’s principle [132,136]:”
Survey of Oka theory (2010, background): “The monographs by Grauert and Remmert [32], by Gunning and Rossi [35], and by Hörmander [37], now considered classics, are still excellent sources for the theory of Stein manifolds and Stein spaces.”
Asymptotics and duality for the Davis and Norman problem (2010, methodology): “It turns out that b0;0 1⁄4 0, while b1;0 1⁄4 uðu2 1Þ is non-zero, so that we can apply the implicit function theorem for multivariate analytic functions [[10], Theorem I.”
Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry, II (2015, neutral): “3 in [20] there is a polydisc ∆ around 0, such that each zi,α extends to a holomorphic function on ∆ with a bound ||zi,α||L∞(∆) ≤ C||zi,α||L∞(Ω) for a constant C > 0 independent of α.”
The complex life of hydrodynamic modes (2019, methodology): “We now recall some facts from complex analysis [104] and explain the Puiseux construction [47], [45].”