Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields

Nonlinear Analysis 2026 Open access

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Authors: Jessica Elisa Massetti, Michela Procesi, Laurent Stolovitch
DOI: 10.1016/j.na.2026.114237
Cited by: 0

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.

Fields of Study & Subjects

Holomorphic and Operator Theory Mathematical Dynamics and Fractals Meromorphic and Entire Functions

Publication details

Journal / source
Nonlinear Analysis
Volume
274
Pages
114237–114237
Publication date
24 July 2026
Language
EN