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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
1
vote
Gauge equivalence between operators
I will assume $G \subset SO(3)$ (I
m not sure yet about the general case).
By the following answer we know $SO(3,\mathbb{C})$ has double cover $SL(2,\mathbb{C})$ (which is simply connected). All fini …
10
votes
1
answer
386
views
Is every endomorphism of the sheaf of holomorphic functions on a disk a differential operator?
Let $D= \{z\in \mathbb{C}:|z| < 1\}$ be the unit disk. And consider the sheaf of holomorphic functions $\mathcal{O}_{D}$.
Question (?) : Is there a sheaf endomorphisms $\phi : \mathcal{O}_D \to \m …