Functional quadratic regression

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Functional Data Analysis (2016, methodology): “Finally, just as the common linear model can be embedded in a more general polynomial version, a polynomial functional model that extends the functional linear model has been proposed (Yao & M¨uller 2010), with quadratic functional regression as the most prominent special case.”
Testing the Equality of Covariance Operators in Functional Samples (2011, background): “M E ] 2 point for many functional data analysis procedures, Reiss & Ogden (2007), Gervini (2008), Yao & Müller (2010), Gabrys et al. (2010) are just a handful of illustrative references.”