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arXiv · 2410.03285

Discrete time scattering and Wold's decomposition in pictures

Rafi Rizqy Firdaus·Serge Richard
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Abstract

Based on explicit computations, various concepts of discrete time scattering theory are reviewed, discussed, and illustrated. The dynamics are taking place on a discrete half-space. All operators are represented graphically. The expressions obtained for the wave operators lead to an easily visualized interpretation of Wold's decomposition, a seminal result of operator theory. This work is clearly pedagogically oriented with the aim of providing explicit formulas and pictures for usually unexplicit operators.

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Rafi Rizqy Firdaus, Serge Richard. 2024-10-04. Discrete time scattering and Wold's decomposition in pictures. https://arxiv.org/abs/2410.03285

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