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Results tagged with ca.classical-analysis-and-odes
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user 5659
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
9
votes
Analytic implicit function theorem
In one variable, this is a trivial consequence of the standard local inversion theorem. Indeed, holomorphic functions are $C^1$ functions characterized by the fact that their differential is a similit …
- 2,727
2
votes
Accepted
a question about complex Hessians on complex tori
Let me copy my remark to close the topic.
If $\partial \bar \partial f$ is a constant matrix on $\mathbb C^n$, then it follows that for any complex line $L\subset \mathbb C^n$, $\Delta (f|_L)$ is co …
- 2,727