Documents  32H04 | enregistrements trouvés : 4

Research talks;Analysis and its Applications

For a complex Lie group $G$ with a real form $G_{0}\subset G$, we prove that any Hamiltionian automorphism $\phi$ of a coadjoint orbit $\mathcal{O}_{0}$ of $G_{0}$ whose connected components are simply connected, may be approximated by holomorphic $O_{0}$-invariant symplectic automorphism of the corresponding coadjoint orbit of $G$ in the sense of Carleman, provided that $\mathcal{O}$ is closed. In the course of the proof, we establish the Hamiltonian density property for closed coadjoint orbits of all complex Lie groups. For a complex Lie group $G$ with a real form $G_{0}\subset G$, we prove that any Hamiltionian automorphism $\phi$ of a coadjoint orbit $\mathcal{O}_{0}$ of $G_{0}$ whose connected components are simply connected, may be approximated by holomorphic $O_{0}$-invariant symplectic automorphism of the corresponding coadjoint orbit of $G$ in the sense of Carleman, provided that $\mathcal{O}$ is closed. In the course of the proof, we establish the ...

32E30 ; 32H04 ; 32M05

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- 219 p.

Localisation : Ouvrage RdC (WU)

courbe holomorphe # espace grassmannien # espace projectif # fonction méronorphe # théorie de distribution uniforme

30D30 ; 30D35 ; 32H02 ; 32H04 ; 32H30

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- 269 p.

Annals of mathematics studies , 0012

Localisation : Ouvrage RdC (WEYL)

courbe analytique # fonction méromorphe # intersection # intégrale # multiplication de Kronecker # théorème de Picard

32A20 ; 32A25 ; 32H04 ; 32H25 ; 32H35

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