12 citations · 12 across the 14 of their papers we have counts for
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Physics-informed spectral approximation of Koopman operators
Claire Valva, Dimitrios Giannakis
Koopman operators and transfer operators represent nonlinear dynamics in state space through its induced action on linear spaces of observables and measures, respectively. This fra…
Tensor network approximation of Koopman operators
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli, Michael Montgomery +3
We propose a tensor network framework for approximating the evolution of observables of measure-preserving ergodic systems. Our approach is based on a spectrally-convergent approxi…
Kernel Smoothing Operators on Thick Open Domains
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli
We define the notion of a thick open set in a Euclidean space and show that a local Hardy-Littlewood inequality holds in , . We then establish pointw…
An algebra structure for reproducing kernel Hilbert spaces
Dimitrios Giannakis, Michael Montgomery
Reproducing kernel Hilbert spaces (RKHSs) are Hilbert spaces of functions where pointwise evaluation is continuous. There are known examples of RKHSs that are Banach algebras under…