On Numerical Approximations of the Koopman Operator

We study numerical approaches to computation of spectral properties of composition operators. We provide a characterization of Koopman Modes in Banach spaces using Generalized Laplace Analysis. We cast the Dynamic Mode Decomposition-type methods in the context of Finite Section theory of infinite di...

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Bibliographic Details
Main Author: Igor Mezić
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/7/1180