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Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields (2511.04379v1)
Published 6 Nov 2025 in math.DS and math.AP
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 analytic invariant submanifolds passing through the fixed point. The restricted dynamics is analytically conjugate to the linear one under some Diophantine-like condition.
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