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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
45
votes
Accepted
What does the σ in σ-algebra stand for?
From Elstrodt's book Maß- und Integrationstheorie, pages 13-14:
Bei den Wörtern „$\sigma$-Ring", „$\sigma$-Algebra" weist der Vorsatz „$\sigma$-..." darauf hin, daß das betr.
Mengensystem abge …
12
votes
Accepted
Most important domains, extension theorems, and functions in several complex variables
Here are a few points to guide you into the beautiful subject you had the good taste to choose.
1) Hartogs extension phenomenon :given two concentric balls in $ \mathbb C^n$, any holomorphic funct …