Reproducing kernel Hilbert space compactification of unitary evolution groups

DOI10.1016/j.acha.2021.02.004zbMath1473.37101arXiv1808.01515OpenAlexW3133989388MaRDI QIDQ2036491

Suddhasattwa Das, Joanna Slawinska, Dimitrios Giannakis

Publication date: 29 June 2021

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01515

zbMATH Keywords

reproducing kernel Hilbert spacesspectral theoryergodic dynamical systemsPerron-Frobenius operatorsKoopman operators

Mathematics Subject Classification ID

Atomic physics (81V45) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items

Lie group valued Koopman eigenfunctions, Modern Koopman Theory for Dynamical Systems, Real algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12--17, 2023, Singular Dynamic Mode Decomposition, The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems, Learning Theory for Dynamical Systems, Quantum Mechanics for Closure of Dynamical Systems, Learning to Forecast Dynamical Systems from Streaming Data, Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems, Ensemble forecasts in reproducing kernel Hilbert space family, Covariance estimation error of incomplete functional data under RKHS framework, Eigendecompositions of transfer operators in reproducing kernel Hilbert spaces, Kernel Analog Forecasting: Multiscale Test Problems, Linearly Constrained Linear Quadratic Regulator from the Viewpoint of Kernel Methods, Residual dynamic mode decomposition: robust and verified Koopmanism

Uses Software

• Eigtool

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