Introduction of Function-on-Function Linear Models

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I recently gave an 8-hour short course on functional data analysis. These videos can be viewed as the updated version of my previous videos. This is the 11th session.
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Hello Professor!Thanks for your detailed explanation about functional linear model.But I still have a question about beta(s, t).In PPT page 10 formula 3.Why beta(s, t) can use basis function phi(j) and psi(k) to representation.The basis function is come from FPCA?

翁宇鴻
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