Scalar, multivariate, and functional regressions arise as special cases of one integral operator under varying measures, with discrete grids converging to the continuous operator and estimation reducing to standard multivariate regression.
(1978).Introductory Functional Analysis with Applications
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Unified Operator Framework for Functional and Multivariate Regression
Scalar, multivariate, and functional regressions arise as special cases of one integral operator under varying measures, with discrete grids converging to the continuous operator and estimation reducing to standard multivariate regression.