In this paper, we study infinite dimensional holomorphic vector fields on sequence spaces, having a fixed point at 0. Under suitable hypotheses we prove the existence of germs of analytic invariant submanifolds passing through the fixed point. The restricted dynamics is analytically conjugate to the linear one under some Diophantine-like condition.
Massetti, J.E., Procesi, M., Stolovitch, L. (2027). Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields. NONLINEAR ANALYSIS, 274 [10.1016/j.na.2026.114237].
Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields
Procesi, Michela;
2027-01-01
Abstract
In this paper, we study infinite dimensional holomorphic vector fields on sequence spaces, having a fixed point at 0. Under suitable hypotheses we prove the existence of germs of analytic invariant submanifolds passing through the fixed point. The restricted dynamics is analytically conjugate to the linear one under some Diophantine-like condition.File in questo prodotto:
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