Koopman Theory and Linear Approximation Spaces

• Published in: arXiv.org
• Main Authors: Kurdila, Andrew J, Bobade, Parag
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 27.11.2018
• Subjects: Approximation; Convergence; Eigenvectors; Errors; Estimates; Learning theory; Mathematical analysis; Operators; Statistical analysis; Statistical methods; Wavelet

Koopman theory studies dynamical systems in terms of operator theoretic properties of the Perron-Frobenius operator \(\mathcal{P}\) and Koopman operator \(\mathcal{U}\) respectively. In this paper, we derive the rates of convergence of approximations of \(\mathcal{P}\) or \(\mathcal{U}\) that are ge...